Derived Category Methods in Commutative Algebra
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...
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| Main Authors: | , , |
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| מחבר תאגידי: | |
| פורמט: | אלקטרוני ספר אלקטרוני |
| שפה: | אנגלית |
| יצא לאור: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| מהדורה: | 1st ed. 2024. |
| סדרה: | Springer Monographs in Mathematics,
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| נושאים: | |
| גישה מקוונת: | https://doi.org/10.1007/978-3-031-77453-9 |
| תגים: |
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| סיכום: | 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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| תיאור פיזי: | XXIII, 1119 p. online resource. |
| ISBN: | 9783031774539 |
| ISSN: | 2196-9922 |
| DOI: | 10.1007/978-3-031-77453-9 |