
Threading Homology through Algebra takes homological themes (Koszul complexes and their variations, resolutions in general) and shows how these affect the perception of certain problems in selected parts of algebra, as well as their success in solving a number of them. The text deals with regular local rings, depth-sensitive complexes, finite free resolutions, letter-place algebra, Schur and Weyl modules, Weyl-Schur complexes and determinantal ideals. Aimed at graduates and academics in mathematics, the book provides an overview of the developments that have taken place in these areas as well as an insight into some of the open problems which exist.
This text investigates how homological methods, specifically Koszul complexes and resolutions, provide a framework for solving complex problems within commutative algebra. The authors, David Buchsbaum and Giandomenico Boffi, leverage their extensive expertise in algebraic structures to synthesize developments in finite free resolutions and determinantal ideals. By connecting these abstract tools to concrete algebraic challenges, the book establishes a rigorous methodology for analyzing regular local rings and module theory.
What You Will Find
Scope Limits
Experts recognize this monograph as a specialized resource for graduate students and researchers working in commutative algebra. Readers frequently note the high density of the mathematical prose, which requires significant background in the field to navigate effectively.
Page Count:
272
Publication Date:
2006-01-01
Publisher:
Clarendon Press
ISBN-10:
0191513644
ISBN-13:
9780191513640
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