书目名称 | Gorenstein Dimensions |
编辑 | Lars Winther Christensen |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book‘s content..Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods. |
出版日期 | Book 2000 |
关键词 | Algebra; Auslander-Buchsbaum formulas; Cohen-Macaulay rings; Foxby equivalence; Gorenstein dimensions; Go |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0103980 |
isbn_softcover | 978-3-540-41132-1 |
isbn_ebook | 978-3-540-40008-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2000 |