Localization in Noetherian rings:
This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after whi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1986
|
| Series: | London Mathematical Society lecture note series
98 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xii, 324 pages) |
| ISBN: | 9780511661938 |
| DOI: | 10.1017/CBO9780511661938 |
Staff View
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| 520 | |a This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes | ||
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Record in the Search Index
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| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| id | DE-604.BV043941911 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511661938 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350881 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 324 pages) |
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| publishDate | 1986 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Jategaonkar, A. V. Verfasser aut Localization in Noetherian rings A.V. Jategaonkar Cambridge Cambridge University Press 1986 1 online resource (xii, 324 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 98 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes Noetherian rings Localization theory Lokalisation Mathematik (DE-588)4203486-3 gnd rswk-swf Noetherscher Ring (DE-588)4171970-0 gnd rswk-swf Lokalisation (DE-588)4195351-4 gnd rswk-swf Noetherscher Ring (DE-588)4171970-0 s Lokalisation (DE-588)4195351-4 s 1\p DE-604 Lokalisation Mathematik (DE-588)4203486-3 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-31713-9 https://doi.org/10.1017/CBO9780511661938 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 |
| spellingShingle | Jategaonkar, A. V. Localization in Noetherian rings Noetherian rings Localization theory Lokalisation Mathematik (DE-588)4203486-3 gnd Noetherscher Ring (DE-588)4171970-0 gnd Lokalisation (DE-588)4195351-4 gnd |
| subject_GND | (DE-588)4203486-3 (DE-588)4171970-0 (DE-588)4195351-4 |
| title | Localization in Noetherian rings |
| title_auth | Localization in Noetherian rings |
| title_exact_search | Localization in Noetherian rings |
| title_full | Localization in Noetherian rings A.V. Jategaonkar |
| title_fullStr | Localization in Noetherian rings A.V. Jategaonkar |
| title_full_unstemmed | Localization in Noetherian rings A.V. Jategaonkar |
| title_short | Localization in Noetherian rings |
| title_sort | localization in noetherian rings |
| topic | Noetherian rings Localization theory Lokalisation Mathematik (DE-588)4203486-3 gnd Noetherscher Ring (DE-588)4171970-0 gnd Lokalisation (DE-588)4195351-4 gnd |
| topic_facet | Noetherian rings Localization theory Lokalisation Mathematik Noetherscher Ring Lokalisation |
| url | https://doi.org/10.1017/CBO9780511661938 |
| work_keys_str_mv | AT jategaonkarav localizationinnoetherianrings |