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Book
Derived categories
Author:
ISBN: 1108292828 Year: 2020 Publisher: Cambridge : Cambridge University Press,

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Abstract

There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier in the 1960s. This book is the first in-depth treatment of this important component of homological algebra. It carefully explains the foundations in detail before moving on to key applications in commutative and noncommutative algebra, many otherwise unavailable outside of research articles. These include commutative and noncommutative dualizing complexes, perfect DG modules, and tilting DG bimodules. Written with graduate students in mind, the emphasis here is on explicit constructions (with many examples and exercises) as opposed to axiomatics, with the goal of demystifying this difficult subject. Beyond serving as a thorough introduction for students, it will serve as an important reference for researchers in algebra, geometry and mathematical physics.


Book
Theory and Applications of Non-integer Order Systems : 8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland
Authors: --- --- ---
ISBN: 3319454749 3319454730 Year: 2017 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.


Book
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence.
Author:
ISBN: 9780821852965 0821852965 Year: 2011 Publisher: Providence American Mathematical Society

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