Lectures on rings and modules:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Chelsea
1976
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 183 S. |
| ISBN: | 0828412839 |
Internformat
MARC
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| 650 | 7 | |a Algebra Associativa |2 larpcal | |
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| 650 | 4 | |a Modules (Algèbre) | |
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Datensatz im Suchindex
| _version_ | 1804128274345885696 |
|---|---|
| adam_text | Contents
1. Fundamental Concepts of Algebra 1
1.1 Rings and related algebraic systems 1
1.2 Subrings, homomorphisms, ideals 8
1.3 Modules, direct products, and direct sums 14
1.4 Classical isomorphism theorems 19
2. Selected Topics on Commutative Rings 27
2.1 Prime ideals in commutative rings 27
2.2 Prime ideals in special commutative rings 32
2.3 The complete ring of quotients of a commutative ring 36
2.4 Rings of quotients of commutative semiprime rings 42
2.5 Prime ideal spaces 47
3. Classical Theory of Associative Rings 51
3.1 Primitive rings 51
3.2 Radicals 55
3.3 Completely reducible modules 59
3.4 Completely reducible rings 62
3.5 Artinian and Noetherian rings 67
3.6 On lifting idempotents 72
3.7 Local and semiperfect rings 75
4. Injectivity and Related Concepts 80
4.1 Projective modules 80
4.2 Injective modules 87
vii
viii Contents
4.3 The complete ring of quotients 94
4.4 Rings of endomorphisms of injective modules 101
4.5 Regular rings of quotients 106
4.6 Classical rings of quotients 108
4.7 The Faith Utumi Theorem 114
5. Introduction to Homological Algebra 117
5.1 Tensor products of modules 117
5.2 Horn and ® as functors 121
5.3 Exact sequences 126
5.4 Flat modules 132
5.5 Torsion and extension products 136
appendixes 145
comments 166
bibliography 173
INDEX 181
|
| any_adam_object | 1 |
| author | Lambek, Joachim 1922-2014 |
| author_GND | (DE-588)118941240 |
| author_facet | Lambek, Joachim 1922-2014 |
| author_role | aut |
| author_sort | Lambek, Joachim 1922-2014 |
| author_variant | j l jl |
| building | Verbundindex |
| bvnumber | BV013483519 |
| callnumber-first | Q - Science |
| callnumber-label | QA251 |
| callnumber-raw | QA251.5 |
| callnumber-search | QA251.5 |
| callnumber-sort | QA 3251.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)1976736 (DE-599)BVBBV013483519 |
| 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 |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T18:46:38Z |
| institution | BVB |
| isbn | 0828412839 |
| language | English |
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| physical | VIII, 183 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Chelsea |
| record_format | marc |
| spelling | Lambek, Joachim 1922-2014 Verfasser (DE-588)118941240 aut Lectures on rings and modules Joachim Lambek 2. ed. New York Chelsea 1976 VIII, 183 S. txt rdacontent n rdamedia nc rdacarrier Algebra Associativa larpcal Anneaux associatifs Anneaux associatifs ram Modules (Algèbre) Modules (algèbre) ram Associative rings Modules (Algebra) Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 s DE-604 Modultheorie (DE-588)4170336-4 s Modul (DE-588)4129770-2 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009202847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lambek, Joachim 1922-2014 Lectures on rings and modules Algebra Associativa larpcal Anneaux associatifs Anneaux associatifs ram Modules (Algèbre) Modules (algèbre) ram Associative rings Modules (Algebra) Ring Mathematik (DE-588)4128084-2 gnd Modultheorie (DE-588)4170336-4 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4128084-2 (DE-588)4170336-4 (DE-588)4129770-2 |
| title | Lectures on rings and modules |
| title_auth | Lectures on rings and modules |
| title_exact_search | Lectures on rings and modules |
| title_full | Lectures on rings and modules Joachim Lambek |
| title_fullStr | Lectures on rings and modules Joachim Lambek |
| title_full_unstemmed | Lectures on rings and modules Joachim Lambek |
| title_short | Lectures on rings and modules |
| title_sort | lectures on rings and modules |
| topic | Algebra Associativa larpcal Anneaux associatifs Anneaux associatifs ram Modules (Algèbre) Modules (algèbre) ram Associative rings Modules (Algebra) Ring Mathematik (DE-588)4128084-2 gnd Modultheorie (DE-588)4170336-4 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Algebra Associativa Anneaux associatifs Modules (Algèbre) Modules (algèbre) Associative rings Modules (Algebra) Ring Mathematik Modultheorie Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009202847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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