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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1986.
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Colección: | London Mathematical Society lecture note series ;
98. |
Temas: | |
Acceso en línea: | Texto completo |
Sumario: | 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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Descripción Física: | 1 online resource (xii, 324 pages) : illustrations |
Bibliografía: | Includes bibliographical references (pages 310-318) and index. |
ISBN: | 9781107361300 1107361303 9780511661938 0511661932 |