Modules and rings:
This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve prob...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 442 pages) |
| ISBN: | 9780511529962 |
| DOI: | 10.1017/CBO9780511529962 |
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| 505 | 8 | |a Modules -- Free modules -- Injective modules -- Tensor products -- Certain important algebras -- Simple modules and primitive rings -- The Jacobson radical -- Subdirect product decompositions -- Primes and semiprimes -- Projective modules and more on Wedderburn theorems -- Direct sum decompositions -- Simple algebras -- Hereditary rings, free and projective modules -- Module constructions -- Categories and functors -- Module categories -- Flat modules -- Purity | |
| 520 | |a This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Dauns, John |
| author_facet | Dauns, John |
| author_role | aut |
| author_sort | Dauns, John |
| author_variant | j d jd |
| building | Verbundindex |
| bvnumber | BV043945548 |
| classification_rvk | SK 230 |
| collection | ZDB-20-CBO |
| contents | Modules -- Free modules -- Injective modules -- Tensor products -- Certain important algebras -- Simple modules and primitive rings -- The Jacobson radical -- Subdirect product decompositions -- Primes and semiprimes -- Projective modules and more on Wedderburn theorems -- Direct sum decompositions -- Simple algebras -- Hereditary rings, free and projective modules -- Module constructions -- Categories and functors -- Module categories -- Flat modules -- Purity |
| ctrlnum | (ZDB-20-CBO)CR9780511529962 (OCoLC)849876459 (DE-599)BVBBV043945548 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511529962 |
| format | Electronic eBook |
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| id | DE-604.BV043945548 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511529962 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354519 |
| oclc_num | 849876459 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xviii, 442 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Dauns, John Verfasser aut Modules and rings John Dauns Modules & Rings Cambridge Cambridge University Press 1994 1 online resource (xviii, 442 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Modules -- Free modules -- Injective modules -- Tensor products -- Certain important algebras -- Simple modules and primitive rings -- The Jacobson radical -- Subdirect product decompositions -- Primes and semiprimes -- Projective modules and more on Wedderburn theorems -- Direct sum decompositions -- Simple algebras -- Hereditary rings, free and projective modules -- Module constructions -- Categories and functors -- Module categories -- Flat modules -- Purity This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject Modules (Algebra) Rings (Algebra) Nichtkommutativer Ring (DE-588)4246997-1 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 s 1\p DE-604 Nichtkommutativer Ring (DE-588)4246997-1 s 2\p DE-604 Modul (DE-588)4129770-2 s 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-06348-7 Erscheint auch als Druckausgabe 978-0-521-46258-7 https://doi.org/10.1017/CBO9780511529962 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dauns, John Modules and rings Modules -- Free modules -- Injective modules -- Tensor products -- Certain important algebras -- Simple modules and primitive rings -- The Jacobson radical -- Subdirect product decompositions -- Primes and semiprimes -- Projective modules and more on Wedderburn theorems -- Direct sum decompositions -- Simple algebras -- Hereditary rings, free and projective modules -- Module constructions -- Categories and functors -- Module categories -- Flat modules -- Purity Modules (Algebra) Rings (Algebra) Nichtkommutativer Ring (DE-588)4246997-1 gnd Ring Mathematik (DE-588)4128084-2 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4246997-1 (DE-588)4128084-2 (DE-588)4129770-2 |
| title | Modules and rings |
| title_alt | Modules & Rings |
| title_auth | Modules and rings |
| title_exact_search | Modules and rings |
| title_full | Modules and rings John Dauns |
| title_fullStr | Modules and rings John Dauns |
| title_full_unstemmed | Modules and rings John Dauns |
| title_short | Modules and rings |
| title_sort | modules and rings |
| topic | Modules (Algebra) Rings (Algebra) Nichtkommutativer Ring (DE-588)4246997-1 gnd Ring Mathematik (DE-588)4128084-2 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Modules (Algebra) Rings (Algebra) Nichtkommutativer Ring Ring Mathematik Modul |
| url | https://doi.org/10.1017/CBO9780511529962 |
| work_keys_str_mv | AT daunsjohn modulesandrings AT daunsjohn modulesrings |