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- catalog abstract "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.".
- catalog contributor b11937311.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Includes bibliographical references (p. [191]-195) and index.".
- catalog description "Introduction -- Synopsis -- Conventions and prerequisites -- The classical Gorenstein dimension -- G-dimension and reflexive complexes -- Auslander categories -- G-projectivity. - G-injectivity -- Appendix: Hyperhomology. Basic definitions and notation. Standard functors and morphisms. Resolutions. Almost derived functors. Homological dimensions. Depth and width. Numerical and formal invariants. Dualizing complexes.".
- catalog description "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.".
- catalog extent "viii, 204 p. ;".
- catalog identifier "3540411321 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1747.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1747".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "512/.24 21".
- catalog subject "Gorenstein rings.".
- catalog subject "Homology theory.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA251.38 .C48 2000".
- catalog tableOfContents "Introduction -- Synopsis -- Conventions and prerequisites -- The classical Gorenstein dimension -- G-dimension and reflexive complexes -- Auslander categories -- G-projectivity. - G-injectivity -- Appendix: Hyperhomology. Basic definitions and notation. Standard functors and morphisms. Resolutions. Almost derived functors. Homological dimensions. Depth and width. Numerical and formal invariants. Dualizing complexes.".
- catalog title "Gorenstein dimensions / Lars Winther Christensen.".
- catalog type "text".