Описание: The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.
Описание: The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers.
Описание: The representation theory of symmetric groups is one of the most beautiful, popular, and important parts of algebra with many deep relations to other areas of mathematics, such as combinatorics, Lie theory, and algebraic geometry. Kleshchev describes an alternative approach to the subject, based on the work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski, Brundan, and the author. Much of this work has only appeared in the research literature before. However, to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. This unique book will be welcomed by graduate students and researchers as a modern account of the subject.
Автор: Boffi, Giandomenico Buchsbaum, David Название: Threading homology through algebra ISBN: 0198524994 ISBN-13(EAN): 9780198524991 Издательство: Oxford Academ Рейтинг: Цена: 4485 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them. This book is suitable for graduate students and researchers in mathematics.
Автор: Banyaga Augustin, Hurtubise David Название: Lectures on Morse Homology ISBN: 1402026951 ISBN-13(EAN): 9781402026959 Издательство: Springer Рейтинг: Цена: 8359 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs.The core material in this book includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists.
Автор: Northcott Название: An Introduction to Homological Algebra ISBN: 0521097932 ISBN-13(EAN): 9780521097932 Издательство: Cambridge Academ Рейтинг: Цена: 4485 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is designed with the needs and problems of the beginner in mind, but will also be a useful work of reference for specialists.
Описание: This book provides comprehensive coverage on semi-infinite homology and cohomology of associative algebraic structures. It features rich representation-theoretic and algebro-geometric examples and applications.
Автор: Joseph J. Rotman Название: Introduction to Homological Algebra, 85, ISBN: 0125992505 ISBN-13(EAN): 9780125992503 Издательство: Elsevier Science Рейтинг: Цена: 5742 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Collects the papers that address topics related to the research of Raman Parimala (plenary speaker at the ICM 2010), focusing on the interplay between algebra, number theory, and algebraic geometry. This title covers research in areas such as field patching and a proof of the Serre`s Conjecture II for function fields of complex surfaces.
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