ENGLISH

Derived Category Methods in Commutative Algebra (Springer Monographs in Mathematics)

Book information

Publisher
Springer
Year
2024
ISBN
9783031774522, 9783031774539
ASIN
B0DPMMC5GC
Language
english
Format
PDF
Filesize
22 MB (23270750 bytes)
Pages
1129\1130
Time added
2024-12-07 16:11:38

Description

Derived category methods entered commutative algebra in the latter half of the 1960s, providing, among other things, a framework for a clear formulation of Grothendieck’s Local Duality Theorem. Since then, their impact on the field has steadily grown and continues to expand. This book guides readers familiar with rings and modules through the construction of the associated derived category and its triangulated functors. In this context, it develops theories of categorical equivalences for subcategories and homological invariants of objects. The second half of the book focuses on applications to commutative Noetherian rings. The book can be used as a text for graduate courses, both introductory and advanced, and is intended to serve as a reference for researchers in commutative algebra and related fields. To accommodate readers new to homological algebra, it offers a significantly higher level of detail than most existing texts on the subject.

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