Models, modules and Abelian groups :: in memory of A.L.S. Corner /
This is a memorial volume dedicated to A.L.S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also...
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| Weitere Verfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Berlin :
New York : Walter de Gruyter,
©2008.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This is a memorial volume dedicated to A.L.S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself. |
| Beschreibung: | 1 online resource (ix, 497 pages :) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9783110203035 3110203030 |
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| 520 | |a This is a memorial volume dedicated to A.L.S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Anthony Leonard Southern Corner 1934-2006 -- |t Groups of units of orders in Q-algebras: Lectures given at the Università di Padova, April, 1988 -- |t Basic subgroups and freeness, a counterexample -- |t An extension of Butler's theorem on endomorphism rings -- |t Locally free abelian groups of finite rank -- |t Decompositions of global crq-groups -- |t Endomorphisms and automorphisms of squares of abelian groups -- |t Classification of a class of finite rank Butler groups -- |t Quotient divisible and almost completely decomposable groups -- |t Pure subgroups of completely decomposable groups -- an algorithmic approach -- |t Strong subgroup chains and the Baer-Specker group -- |t On direct decompositions of Butler B(2)-groups -- |t Diagonal equivalence of matrices -- |t Root bases of polynomials over integral domains -- |t A solution to a problem on lattice isomorphic Abelian groups -- |t A note on Axiom 3 and its dual for abelian groups -- |t Units of modular p-mixed abelian group algebras -- |t Pure covers in abelian p-groups -- |t Partially decomposable primary Abelian groups and the generalized core class property -- |t The additive group of a finite local ring in which each ideal can be n-generated -- |t A Jacobson radical isomorphism theorem for torsion-free modules -- |t Anti-isomorphisms and the failure of duality -- |t Automorphism groups of models of first order theories -- |t The classification problem for finite rank Butler groups -- |t L-groups -- |t Co-local subgroups of nilpotent groups of class 2 -- |t Divisible envelopes and cotorsion pairs over integral domains -- |t The first Brauer-Thrall conjecture -- |t A version of the Baer splitting problem for noetherian rings -- |t Characterizations and constructions of h-local domains -- |t Variations on Whitehead's problem and the structure of Ext -- |t The lattice of torsionfree precover classes -- |t Non-singular rings of injective dimension 1 -- |t On classes defining a homological dimension -- |t Truncated path algebras are homologically transparent -- |t Representations of the category of serial modules of finite Goldie dimension -- |t Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy. |
| 650 | 0 | |a Modules (Algebra) |0 http://id.loc.gov/authorities/subjects/sh85086470 | |
| 650 | 0 | |a Abelian groups. |0 http://id.loc.gov/authorities/subjects/sh85000128 | |
| 650 | 0 | |a Model theory. |0 http://id.loc.gov/authorities/subjects/sh85086421 | |
| 650 | 0 | |a Endomorphism rings. |0 http://id.loc.gov/authorities/subjects/sh85043085 | |
| 650 | 6 | |a Modules (Algèbre) | |
| 650 | 6 | |a Groupes abéliens. | |
| 650 | 6 | |a Théorie des modèles. | |
| 650 | 6 | |a Anneaux d'endomorphismes. | |
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| 650 | 7 | |a Endomorphism rings |2 fast | |
| 650 | 7 | |a Model theory |2 fast | |
| 650 | 7 | |a Modules (Algebra) |2 fast | |
| 650 | 7 | |a Abelsche Gruppe |2 gnd |0 http://d-nb.info/gnd/4140988-7 | |
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| 700 | 1 | |a Corner, A. L. S. |q (Anthony Leonard Southern), |d 1934-2006. |1 https://id.oclc.org/worldcat/entity/E39PCjDTDpjPMTbRXg87Wmw7VC |0 http://id.loc.gov/authorities/names/no2009073109 | |
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| author2 | Corner, A. L. S. (Anthony Leonard Southern), 1934-2006 Göbel, R. (Rüdiger), 1940- Goldsmith, Brendan |
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| contents | Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras: Lectures given at the Università di Padova, April, 1988 -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups -- an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy. |
| ctrlnum | (OCoLC)503441345 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn503441345 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:17:16Z |
| institution | BVB |
| isbn | 9783110203035 3110203030 |
| language | English |
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| spelling | Models, modules and Abelian groups : in memory of A.L.S. Corner / editors, Rüdiger Göbel, Brendan Goldsmith. Berlin : New York : Walter de Gruyter, ©2008. 1 online resource (ix, 497 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. This is a memorial volume dedicated to A.L.S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself. Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras: Lectures given at the Università di Padova, April, 1988 -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups -- an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy. Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Abelian groups. http://id.loc.gov/authorities/subjects/sh85000128 Model theory. http://id.loc.gov/authorities/subjects/sh85086421 Endomorphism rings. http://id.loc.gov/authorities/subjects/sh85043085 Modules (Algèbre) Groupes abéliens. Théorie des modèles. Anneaux d'endomorphismes. MATHEMATICS Algebra Intermediate. bisacsh Abelian groups fast Endomorphism rings fast Model theory fast Modules (Algebra) fast Abelsche Gruppe gnd http://d-nb.info/gnd/4140988-7 Algebra gnd Festschriften fast Festschriften. lcgft http://id.loc.gov/authorities/genreForms/gf2016026082 Corner, A. L. S. (Anthony Leonard Southern), 1934-2006. https://id.oclc.org/worldcat/entity/E39PCjDTDpjPMTbRXg87Wmw7VC http://id.loc.gov/authorities/names/no2009073109 Göbel, R. (Rüdiger), 1940- https://id.oclc.org/worldcat/entity/E39PBJk94xMx9tqb8yqq7vxxDq http://id.loc.gov/authorities/names/n81079579 Goldsmith, Brendan. http://id.loc.gov/authorities/names/no2009040913 has work: Models, modules and Abelian groups (Text) https://id.oclc.org/worldcat/entity/E39PCGmYdct6qGyKQB8VQPRPcd https://id.oclc.org/worldcat/ontology/hasWork Print version: Models, modules and Abelian groups. Berlin : New York : Walter de Gruyter, ©2008 3110194376 9783110194371 (OCoLC)198757477 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=274366 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=274366 Volltext |
| spellingShingle | Models, modules and Abelian groups : in memory of A.L.S. Corner / Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras: Lectures given at the Università di Padova, April, 1988 -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups -- an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy. Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Abelian groups. http://id.loc.gov/authorities/subjects/sh85000128 Model theory. http://id.loc.gov/authorities/subjects/sh85086421 Endomorphism rings. http://id.loc.gov/authorities/subjects/sh85043085 Modules (Algèbre) Groupes abéliens. Théorie des modèles. Anneaux d'endomorphismes. MATHEMATICS Algebra Intermediate. bisacsh Abelian groups fast Endomorphism rings fast Model theory fast Modules (Algebra) fast Abelsche Gruppe gnd http://d-nb.info/gnd/4140988-7 Algebra gnd |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85086470 http://id.loc.gov/authorities/subjects/sh85000128 http://id.loc.gov/authorities/subjects/sh85086421 http://id.loc.gov/authorities/subjects/sh85043085 http://d-nb.info/gnd/4140988-7 http://id.loc.gov/authorities/genreForms/gf2016026082 |
| title | Models, modules and Abelian groups : in memory of A.L.S. Corner / |
| title_alt | Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras: Lectures given at the Università di Padova, April, 1988 -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups -- an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy. |
| title_auth | Models, modules and Abelian groups : in memory of A.L.S. Corner / |
| title_exact_search | Models, modules and Abelian groups : in memory of A.L.S. Corner / |
| title_full | Models, modules and Abelian groups : in memory of A.L.S. Corner / editors, Rüdiger Göbel, Brendan Goldsmith. |
| title_fullStr | Models, modules and Abelian groups : in memory of A.L.S. Corner / editors, Rüdiger Göbel, Brendan Goldsmith. |
| title_full_unstemmed | Models, modules and Abelian groups : in memory of A.L.S. Corner / editors, Rüdiger Göbel, Brendan Goldsmith. |
| title_short | Models, modules and Abelian groups : |
| title_sort | models modules and abelian groups in memory of a l s corner |
| title_sub | in memory of A.L.S. Corner / |
| topic | Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Abelian groups. http://id.loc.gov/authorities/subjects/sh85000128 Model theory. http://id.loc.gov/authorities/subjects/sh85086421 Endomorphism rings. http://id.loc.gov/authorities/subjects/sh85043085 Modules (Algèbre) Groupes abéliens. Théorie des modèles. Anneaux d'endomorphismes. MATHEMATICS Algebra Intermediate. bisacsh Abelian groups fast Endomorphism rings fast Model theory fast Modules (Algebra) fast Abelsche Gruppe gnd http://d-nb.info/gnd/4140988-7 Algebra gnd |
| topic_facet | Modules (Algebra) Abelian groups. Model theory. Endomorphism rings. Modules (Algèbre) Groupes abéliens. Théorie des modèles. Anneaux d'endomorphismes. MATHEMATICS Algebra Intermediate. Abelian groups Endomorphism rings Model theory Abelsche Gruppe Algebra Festschriften Festschriften. |
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| work_keys_str_mv | AT cornerals modelsmodulesandabeliangroupsinmemoryofalscorner AT gobelr modelsmodulesandabeliangroupsinmemoryofalscorner AT goldsmithbrendan modelsmodulesandabeliangroupsinmemoryofalscorner |