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Derived Category Methods in Commutative Algebra

By Christensen, Lars Winther

Product Image: Derived Category Methods in Commutative Algebra

Derived Category Methods in Commutative Algebra

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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.
Product details
Edition:
1
Number of Pages:
1144
Release Date:
2024-12-05
Publication Date:
2024-12-05
Publisher:
Springer
Languages:
Original: English
ISBN10:
3031774523
ISBN13:
9783031774522
GPSR Manufacturer Reference:
[email protected]
Weight:
1851 g
Height:
160 cm
Width:
241 cm
Thickness:
67 cm
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