On the Decidability of the Identities Valid in the Lattice of Closed Subspaces PDF Download
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Author: Monty Montague Denneau
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 116
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Book Description
Author: Monty Montague Denneau
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 116
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Book Description
Author: Gudrun Kalmbach
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 408
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Book Description
This book has evolved from a set of lecture notes of a course on orthomodular lattices given at the University of Ulm. Most concepts are developed from their very first notions, but in some instances basic set theory and Hilbert space theory may be needed. The text is in general independent of the exercises and supplementary remarks. The book can be used for a general lecture on orthomodular lattices and also for seminars on special geometrical or logical topics. As the first monograph in the field it makes the widely spread results on orthomodular lattices more easily accessible for researchers.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 742
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Author: University of Illinois at Urbana-Champaign
Publisher:
ISBN:
Category :
Languages : en
Pages : 492
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Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 620
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Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 1032
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Book Description
Includes entries for maps and atlases.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1214
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Book Description
Author: S. Burris
Publisher: Springer
ISBN: 9781461381327
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular, everything necessary for the subsequent study of congruence lattices is included. Chapter II develops the most general and fundamental notions of uni versal algebra-these include the results that apply to all types of algebras, such as the homomorphism and isomorphism theorems. Free algebras are discussed in great detail-we use them to derive the existence of simple algebras, the rules of equational logic, and the important Mal'cev conditions. We introduce the notion of classifying a variety by properties of (the lattices of) congruences on members of the variety. Also, the center of an algebra is defined and used to characterize modules (up to polynomial equivalence). In Chapter III we show how neatly two famous results-the refutation of Euler's conjecture on orthogonal Latin squares and Kleene's character ization of languages accepted by finite automata-can be presented using universal algebra. We predict that such "applied universal algebra" will become much more prominent.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
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Book Description
Author: Peter Webb
Publisher: Cambridge University Press
ISBN: 1107162394
Category : Mathematics
Languages : en
Pages : 339
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Book Description
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
