Non-commutative Multiple-Valued Logic Algebras, Lavinia Corina Ciungu

Автор: Lavinia Corina Ciungu
Название: Non-commutative Multiple-Valued Logic Algebras
ISBN: 3319015885 ISBN-13(EAN): 9783319015880
Издательство: Springer
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Цена: 46570.00 T
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Описание: This monograph provides a self-contained introduction to non-commutative multiple-valued logic algebras. It includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, and pseudo-MV algebras.

Автор: Nikolai Vasilevski
Название: Commutative Algebras of Toeplitz Operators on the Bergman Space
ISBN: 3764387254 ISBN-13(EAN): 9783764387259
Издательство: Springer
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Цена: 130430.00 T
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Описание: This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk.

Автор: Gueye
Название: Non-Associative and Non-Commutative Algebra and Operator Theory
ISBN: 3319329006 ISBN-13(EAN): 9783319329000
Издательство: Springer
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Цена: 121110.00 T
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Описание: Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics. The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almer?a and the University of M?laga. Dr.Kaidi's work focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.

Автор: Huzihiro Araki; Keiichi R. Ito; Akitaka Kishimoto;
Название: Quantum and Non-Commutative Analysis
ISBN: 9048143349 ISBN-13(EAN): 9789048143344
Издательство: Springer
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Цена: 104480.00 T
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Описание: In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc.

Автор: Joseph A. Ball; Michael A. Dritschel; A.F.M. ter E
Название: Operator Theory in Harmonic and Non-commutative Analysis
ISBN: 3319377957 ISBN-13(EAN): 9783319377957
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results."

Автор: H. Marubayashi; Haruo Miyamoto; Akira Ueda
Название: Non-Commutative Valuation Rings and Semi-Hereditary Orders
ISBN: 0792345622 ISBN-13(EAN): 9780792345626
Издательство: Springer
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Цена: 125730.00 T
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Описание: A summary of non-Noetherian orders in a simple Artinian ring. This book covers Dubrovin valuation rings and semi-hereditary orders, including Prufer and semi-local Bezout orders, which are considered, in a sense, as global theories of Dubrovin valuation rings.

Автор: P. J. Fleury
Название: Advances in Non-Commutative Ring Theory
ISBN: 3540115978 ISBN-13(EAN): 9783540115977
Издательство: Springer
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Цена: 23250.00 T
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Автор: Alberto Parmeggiani
Название: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction
ISBN: 3642119212 ISBN-13(EAN): 9783642119217
Издательство: Springer
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Цена: 41880.00 T
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Описание: This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003-2007) "Development of Dynamical Mathematics with High Fu- tionality" (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program "DMHF," Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x, ?)-variables, (x, ?)? R R, and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Автор: Kreuzer
Название: Computational Linear and Commutative Algebra
ISBN: 331943599X ISBN-13(EAN): 9783319435992
Издательство: Springer
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Цена: 49370.00 T
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Описание: This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.

Название: Computations and combinatorics in commutative algebra
ISBN: 3319513184 ISBN-13(EAN): 9783319513188
Издательство: Springer
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Цена: 55890.00 T
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Описание: Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations.

Автор: Yengui, Ihsen
Название: Constructive commutative algebra
ISBN: 3319194933 ISBN-13(EAN): 9783319194936
Издательство: Springer
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Цена: 41920.00 T
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Описание:

The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring.

Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gr bner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented.

Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.

Автор: S.T. Chapman; Sarah Glaz
Название: Non-Noetherian Commutative Ring Theory
ISBN: 0792364929 ISBN-13(EAN): 9780792364924
Издательство: Springer
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Цена: 102480.00 T
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Описание: This volume consists of 21 articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine, in various degrees, surveys of past results, recent results that have never before seen print, open problems, and an extensive bibliography.