Differential tensor algebras and their module categories /:
A detailed account of main results in the theory of differential tensor algebras.
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2009.
|
| Schriftenreihe: | London Mathematical Society Lecture Note Series, 362.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | A detailed account of main results in the theory of differential tensor algebras. |
| Beschreibung: | 1 online resource (ix, 452 pages :) |
| Bibliographie: | Includes bibliographical references (pages 446-448) and index. |
| ISBN: | 9781139127448 1139127446 9781139114615 1139114611 9781139107105 1139107100 |
Internformat
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| 520 | |a A detailed account of main results in the theory of differential tensor algebras. | ||
| 504 | |a Includes bibliographical references (pages 446-448) and index. | ||
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| author | Bautista, R. Salmerón, L. Zuazua, R. |
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| contents | t-algebras and differentials -- Ditalgebras and modules -- Bocses, ditalgebras and modules -- Layered ditalgebras -- Triangular ditalgebras -- Exact structures in A-Mod -- Almost split conflations in A-Mod -- Quotient ditalgebras -- Frames and Roiter ditalgebras -- Product of ditalgebras -- Hom-tensor relations and dual basis -- Admissible modules -- Complete admissible modules -- Bimodule filtrations -- Free bimodule filtrations and free ditalgebras -- AX is a Roiter ditalgebra, for suitable X -- Examples and applications -- The exact categories P, P1 and -Mod -- Passage from ditalgebras -- Scalar extension and ditalgebras -- Bimodules -- Parametrizing bimodules and wildness -- Nested and seminested ditalgebras -- Critical ditalgebras -- Reduction functors -- Modules over non-wild ditalgebras -- Tameness and wildness -- Modules over non-wild ditalgebras revisited -- Modules over non-wild algebras -- Absolute wildness -- Generic modules and tameness -- Almost split sequences and tameness -- Varieties of modules over ditalgebras -- Ditalgebras of partially ordered sets -- Further examples of wild ditalgebras -- Answers to selected exercises. |
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| indexdate | 2024-10-25T16:18:26Z |
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| physical | 1 online resource (ix, 452 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society Lecture Note Series, 362. |
| series2 | London Mathematical Society Lecture Note Series, 362 ; |
| spelling | Bautista, R., author. Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua, Universidad Nacional Autónoma de México. Cambridge : Cambridge University Press, 2009. ©2009 1 online resource (ix, 452 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society Lecture Note Series, 362 ; v. 362 A detailed account of main results in the theory of differential tensor algebras. Includes bibliographical references (pages 446-448) and index. t-algebras and differentials -- Ditalgebras and modules -- Bocses, ditalgebras and modules -- Layered ditalgebras -- Triangular ditalgebras -- Exact structures in A-Mod -- Almost split conflations in A-Mod -- Quotient ditalgebras -- Frames and Roiter ditalgebras -- Product of ditalgebras -- Hom-tensor relations and dual basis -- Admissible modules -- Complete admissible modules -- Bimodule filtrations -- Free bimodule filtrations and free ditalgebras -- AX is a Roiter ditalgebra, for suitable X -- Examples and applications -- The exact categories P, P1 and -Mod -- Passage from ditalgebras -- Scalar extension and ditalgebras -- Bimodules -- Parametrizing bimodules and wildness -- Nested and seminested ditalgebras -- Critical ditalgebras -- Reduction functors -- Modules over non-wild ditalgebras -- Tameness and wildness -- Modules over non-wild ditalgebras revisited -- Modules over non-wild algebras -- Absolute wildness -- Generic modules and tameness -- Almost split sequences and tameness -- Varieties of modules over ditalgebras -- Ditalgebras of partially ordered sets -- Further examples of wild ditalgebras -- Answers to selected exercises. Print version record. Tensor algebra. http://id.loc.gov/authorities/subjects/sh85133937 Representations of algebras. http://id.loc.gov/authorities/subjects/sh85112938 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Algèbre tensorielle. Représentations des algèbres. Catégories (Mathématiques) MATHEMATICS Algebra Linear. bisacsh Categories (Mathematics) fast Representations of algebras fast Tensor algebra fast Modulkategorie gnd http://d-nb.info/gnd/4170335-2 Tensoralgebra gnd http://d-nb.info/gnd/4505278-5 Salmerón, L., author. Zuazua, R., author. http://id.loc.gov/authorities/names/n2009020957 has work: Differential tensor algebras and their module categories (Text) https://id.oclc.org/worldcat/entity/E39PCGFvXQhpMbmYYkXDVDkFcd https://id.oclc.org/worldcat/ontology/hasWork Print version: Bautista, R., 1943- Differential tensor algebras and their module categories. Cambridge ; New York : Cambridge University Press, 2009 9780521757683 (DLC) 2009014316 (OCoLC)311769481 London Mathematical Society Lecture Note Series, 362. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399262 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399262 Volltext |
| spellingShingle | Bautista, R. Salmerón, L. Zuazua, R. Differential tensor algebras and their module categories / London Mathematical Society Lecture Note Series, 362. t-algebras and differentials -- Ditalgebras and modules -- Bocses, ditalgebras and modules -- Layered ditalgebras -- Triangular ditalgebras -- Exact structures in A-Mod -- Almost split conflations in A-Mod -- Quotient ditalgebras -- Frames and Roiter ditalgebras -- Product of ditalgebras -- Hom-tensor relations and dual basis -- Admissible modules -- Complete admissible modules -- Bimodule filtrations -- Free bimodule filtrations and free ditalgebras -- AX is a Roiter ditalgebra, for suitable X -- Examples and applications -- The exact categories P, P1 and -Mod -- Passage from ditalgebras -- Scalar extension and ditalgebras -- Bimodules -- Parametrizing bimodules and wildness -- Nested and seminested ditalgebras -- Critical ditalgebras -- Reduction functors -- Modules over non-wild ditalgebras -- Tameness and wildness -- Modules over non-wild ditalgebras revisited -- Modules over non-wild algebras -- Absolute wildness -- Generic modules and tameness -- Almost split sequences and tameness -- Varieties of modules over ditalgebras -- Ditalgebras of partially ordered sets -- Further examples of wild ditalgebras -- Answers to selected exercises. Tensor algebra. http://id.loc.gov/authorities/subjects/sh85133937 Representations of algebras. http://id.loc.gov/authorities/subjects/sh85112938 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Algèbre tensorielle. Représentations des algèbres. Catégories (Mathématiques) MATHEMATICS Algebra Linear. bisacsh Categories (Mathematics) fast Representations of algebras fast Tensor algebra fast Modulkategorie gnd http://d-nb.info/gnd/4170335-2 Tensoralgebra gnd http://d-nb.info/gnd/4505278-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85133937 http://id.loc.gov/authorities/subjects/sh85112938 http://id.loc.gov/authorities/subjects/sh85020992 http://d-nb.info/gnd/4170335-2 http://d-nb.info/gnd/4505278-5 |
| title | Differential tensor algebras and their module categories / |
| title_auth | Differential tensor algebras and their module categories / |
| title_exact_search | Differential tensor algebras and their module categories / |
| title_full | Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua, Universidad Nacional Autónoma de México. |
| title_fullStr | Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua, Universidad Nacional Autónoma de México. |
| title_full_unstemmed | Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua, Universidad Nacional Autónoma de México. |
| title_short | Differential tensor algebras and their module categories / |
| title_sort | differential tensor algebras and their module categories |
| topic | Tensor algebra. http://id.loc.gov/authorities/subjects/sh85133937 Representations of algebras. http://id.loc.gov/authorities/subjects/sh85112938 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Algèbre tensorielle. Représentations des algèbres. Catégories (Mathématiques) MATHEMATICS Algebra Linear. bisacsh Categories (Mathematics) fast Representations of algebras fast Tensor algebra fast Modulkategorie gnd http://d-nb.info/gnd/4170335-2 Tensoralgebra gnd http://d-nb.info/gnd/4505278-5 |
| topic_facet | Tensor algebra. Representations of algebras. Categories (Mathematics) Algèbre tensorielle. Représentations des algèbres. Catégories (Mathématiques) MATHEMATICS Algebra Linear. Representations of algebras Tensor algebra Modulkategorie Tensoralgebra |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399262 |
| work_keys_str_mv | AT bautistar differentialtensoralgebrasandtheirmodulecategories AT salmeronl differentialtensoralgebrasandtheirmodulecategories AT zuazuar differentialtensoralgebrasandtheirmodulecategories |