Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups, K.H. Hofmann; H. J?rgensen; H.J. Weinert
Автор: John Rhodes; Benjamin Steinberg Название: The q-theory of Finite Semigroups ISBN: 1441935363 ISBN-13(EAN): 9781441935366 Издательство: Springer Рейтинг: Цена: 24456.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This comprehensive, encyclopedic text provides the reader - from the graduate student to the researcher/practitioner - with a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research.
Автор: Takefumi Nosaka Название: Quandles and Topological Pairs ISBN: 9811067929 ISBN-13(EAN): 9789811067921 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles.More precisely, this work emphasizes the fresh perspective that quandle theory can be useful for the study of low-dimensional topology (e.g., knot theory) and relative objects with symmetry. The direction of research is summarized as "We shall thoroughly (re)interpret the previous studies of relative symmetry in terms of the quandle." The perspectives contained herein can be summarized by the following topics. The first is on relative objects G/H, where G and H are groups, e.g., polyhedrons, reflection, and symmetric spaces. Next, central extensions of groups are discussed, e.g., spin structures, K2 groups, and some geometric anomalies. The third topic is a method to study relative information on a 3-dimensional manifold with a boundary, e.g., knot theory, relative cup products, and relative group cohomology.For applications in topology, it is shown that from the perspective that some existing results in topology can be recovered from some quandles, a method is provided to diagrammatically compute some "relative homology." (Such classes since have been considered to be uncomputable and speculative). Furthermore, the book provides a perspective that unifies some previous studies of quandles.The former part of the book explains motivations for studying quandles and discusses basic properties of quandles. The latter focuses on low-dimensional topology or knot theory. Finally, problems and possibilities for future developments of quandle theory are posed.
Описание: Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski`s classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin`s work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.
Автор: J.C. Rosales; P. A. Garc?a-S?nchez Название: Numerical Semigroups ISBN: 1461424569 ISBN-13(EAN): 9781461424567 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focused specifically on the development of the numerical semigroup theory, this monograph provides a concise, self-contained overview for graduate students and researchers. Effective calculations are presented through algorithms and examples.
Автор: Askold Khovanskii; Vladlen Timorin; Valentina Kiri Название: Topological Galois Theory ISBN: 3662506025 ISBN-13(EAN): 9783662506028 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author`s complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more.
Автор: Jacek Banasiak; Adam Bobrowski; Miros?aw Lachowicz Название: Semigroups of Operators -Theory and Applications ISBN: 3319121448 ISBN-13(EAN): 9783319121444 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.
Автор: C. van den Berg; J. P. R. Christensen; P. Ressel Название: Harmonic Analysis on Semigroups ISBN: 0387909257 ISBN-13(EAN): 9780387909257 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk" is positive definite for all finite choices of elements St, .
Автор: G?ran H?gn?s; Arunava Mukherjea Название: Probability Measures on Semigroups ISBN: 1461427320 ISBN-13(EAN): 9781461427322 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents up-to-date material on the theory of weak convergence of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. Includes exercises.
Автор: Kantorovitz, Shmuel Название: Topics in operator semigroups ISBN: 081764931X ISBN-13(EAN): 9780817649319 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato`s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone`s representation of unitary semigroups.
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