Simple noetherian rings:
This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background requi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1975
|
| Schriftenreihe: | Cambridge tracts in mathematics
69 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix. Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, the Correspondence theorem, the Wedderburn–Artin theorem, the Goldie–Lesieur–Croisot theorem, and many others. Complex mathematical machinery has been eliminated wherever possible or its introduction into the text delayed as long as possible. (Even tensor products are not required until Chapter 3.) |
| Beschreibung: | 1 Onlline-Ressource (xvii, 135 Seiten) |
| ISBN: | 9780511565700 |
| DOI: | 10.1017/CBO9780511565700 |
Internformat
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| 490 | 0 | |a Cambridge tracts in mathematics |v 69 | |
| 520 | |a This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix. Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, the Correspondence theorem, the Wedderburn–Artin theorem, the Goldie–Lesieur–Croisot theorem, and many others. Complex mathematical machinery has been eliminated wherever possible or its introduction into the text delayed as long as possible. (Even tensor products are not required until Chapter 3.) | ||
| 650 | 4 | |a Noetherian rings | |
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| 700 | 1 | |a Faith, Carl Clifton |d 1927-2014 |e Sonstige |0 (DE-588)123040523 |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Cozzens, John |
| author_GND | (DE-588)1158796722 (DE-588)123040523 |
| author_facet | Cozzens, John |
| author_role | aut |
| author_sort | Cozzens, John |
| author_variant | j c jc |
| building | Verbundindex |
| bvnumber | BV043942297 |
| classification_rvk | SK 230 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511565700 (OCoLC)849796028 (DE-599)BVBBV043942297 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511565700 |
| format | Electronic eBook |
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| id | DE-604.BV043942297 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511565700 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351266 |
| oclc_num | 849796028 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Onlline-Ressource (xvii, 135 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Cozzens, John Verfasser (DE-588)1158796722 aut Simple noetherian rings by John Cozzens and Carl Faith Cambridge Cambridge University Press 1975 1 Onlline-Ressource (xvii, 135 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 69 This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix. Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, the Correspondence theorem, the Wedderburn–Artin theorem, the Goldie–Lesieur–Croisot theorem, and many others. Complex mathematical machinery has been eliminated wherever possible or its introduction into the text delayed as long as possible. (Even tensor products are not required until Chapter 3.) Noetherian rings Noetherscher Ring (DE-588)4171970-0 gnd rswk-swf Noetherscher Ring (DE-588)4171970-0 s DE-604 Faith, Carl Clifton 1927-2014 Sonstige (DE-588)123040523 oth Erscheint auch als Druck-Ausgabe 978-0-521-20734-8 Erscheint auch als Druck-Ausgabe 978-0-521-09299-9 https://doi.org/10.1017/CBO9780511565700 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cozzens, John Simple noetherian rings Noetherian rings Noetherscher Ring (DE-588)4171970-0 gnd |
| subject_GND | (DE-588)4171970-0 |
| title | Simple noetherian rings |
| title_auth | Simple noetherian rings |
| title_exact_search | Simple noetherian rings |
| title_full | Simple noetherian rings by John Cozzens and Carl Faith |
| title_fullStr | Simple noetherian rings by John Cozzens and Carl Faith |
| title_full_unstemmed | Simple noetherian rings by John Cozzens and Carl Faith |
| title_short | Simple noetherian rings |
| title_sort | simple noetherian rings |
| topic | Noetherian rings Noetherscher Ring (DE-588)4171970-0 gnd |
| topic_facet | Noetherian rings Noetherscher Ring |
| url | https://doi.org/10.1017/CBO9780511565700 |
| work_keys_str_mv | AT cozzensjohn simplenoetherianrings AT faithcarlclifton simplenoetherianrings |