Function Algebras on Finite Sets

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Publisher : Springer
ISBN 13 : 9783540360223
Total Pages : 0 pages
Book Rating : 4.3/5 (62 download)

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Book Synopsis Function Algebras on Finite Sets by : Dietlinde Lau

Download or read book Function Algebras on Finite Sets written by Dietlinde Lau and published by Springer. This book was released on 2006-08-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.

Function Algebras on Finite Sets

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Publisher : Springer Science & Business Media
ISBN 13 : 3540360239
Total Pages : 668 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Function Algebras on Finite Sets by : Dietlinde Lau

Download or read book Function Algebras on Finite Sets written by Dietlinde Lau and published by Springer Science & Business Media. This book was released on 2006-11-23 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.

Function Algebras on Finite Sets

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Publisher : Springer
ISBN 13 : 9783540360223
Total Pages : 670 pages
Book Rating : 4.3/5 (62 download)

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Book Synopsis Function Algebras on Finite Sets by : Dietlinde Lau

Download or read book Function Algebras on Finite Sets written by Dietlinde Lau and published by Springer. This book was released on 2006-08-03 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.

Function Algebras

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Publisher : Springer
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Function Algebras by : I. Suciu

Download or read book Function Algebras written by I. Suciu and published by Springer. This book was released on 1975-06-24 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under the title of Function Algebras we may now include a very large number of works. published mainly in the last decade, which consti tute one of the important chapters of functional analysis. This chapter has grown up from various problems. permanently furnished to mathe matics. by the theory of functions. using modern methods of algebra, topology and functional analysis and presenting large possibilities of applications in operators theory. Herefrom proceeds its living character, the variety of obtained results. the variety of forms and contexts in which these results can be found. This also explains the difficulty of an exhaustive exposition of these problems. The purpose of the monograph is to present a coherent exposition of the fundamental results of this theory with an orientation to their applicability to the theory of operator representations of function alge bras. The idea of such a work appeared during the seminaries on function algebras held at the Mathematical Institute in Bucharest. under the direc tion of C. Foia~ and at the Faculty of Mathematics and Mechanics under the direction of N. Boboc. It is a pleasure for the author to express his gratitude to C. Foia~ for assistance in his efforts. in general. and for the large contribution the discussions and cooperation with him had brought in the elaboration of this monograph. I also would like to thank N. Boboc for the clear discussions we have had during the seminaries and the elaboration of some chapters.

Real Function Algebras

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Publisher : CRC Press
ISBN 13 : 1000105636
Total Pages : 201 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Real Function Algebras by : S.H. Kulkarni

Download or read book Real Function Algebras written by S.H. Kulkarni and published by CRC Press. This book was released on 2020-08-26 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.

Introduction to Function Algebras

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Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Function Algebras by : Andrew Browder

Download or read book Introduction to Function Algebras written by Andrew Browder and published by . This book was released on 1969 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Möbius Functions, Incidence Algebras and Power Series Representations

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Publisher : Springer
ISBN 13 : 354039818X
Total Pages : 145 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Möbius Functions, Incidence Algebras and Power Series Representations by : Arne Dür

Download or read book Möbius Functions, Incidence Algebras and Power Series Representations written by Arne Dür and published by Springer. This book was released on 2006-11-14 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Structure of Finite Algebras

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Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis The Structure of Finite Algebras by : David Charles Hobby

Download or read book The Structure of Finite Algebras written by David Charles Hobby and published by . This book was released on 1988 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The utility of congruence lattices in revealing the structure of general algebras has been recognized since Garrett Birkhoff's pioneering work in the 1930s and 1940s. However, the results presented in this book are of very recent origin: most of them were developed in 1983. The main discovery presented here is that the lattice of congruences of a finite algebra is deeply connected to the structure of that algebra. The theory reveals a sharp division of locally finite varieties of algebras into six interesting new families, each of which is characterized by the behavior of congruences in the algebras. The authors use the theory to derive many new results that will be of interest not only to universal algebraists, but to other algebraists as well. The authors begin with a straightforward and complete development of basic tame congruence theory, a topic that offers great promise for a wide variety of investigations. They then move beyond the consideration of individual algebras to a study of locally finite varieties. A list of open problems closes the work.

Finite Semigroups And Universal Algebra

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Publisher : World Scientific
ISBN 13 : 9814501565
Total Pages : 532 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Finite Semigroups And Universal Algebra by : Jorge Almeida

Download or read book Finite Semigroups And Universal Algebra written by Jorge Almeida and published by World Scientific. This book was released on 1995-01-27 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.

Function Algebras

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Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Function Algebras by : Frank T. Birtel

Download or read book Function Algebras written by Frank T. Birtel and published by . This book was released on 1966 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings contain articles based on the invited addresses, submitted abstracts, and informal discussions at the International Symposium on Function Algebras held at Tulane University during April 19-24, 1965, under the joint sponsorship of the National Science Foundation (Contract No. GP-3438) and the Office of Naval Research (Contract No. NRO43-326). Research problems which appear in the Appendix were formulated and discussed on the final day of the Symposium. The term Function Algebras appearing in the title is used in its general, not its technical sense. Perhaps the more generic usage, Algebras of Functions, is advisable, but it seems pedantic to insist upon this fine semantic distinction. Thus the reader is cautioned. Within a given article, Function Algebra frequently means sup norm algebra or uniform algebra: a uniformly closed separating subalgebra of the continuous complex valued functions with 1 on a compact Hausdorff space. In titles the term is frequently used to indicate any algebra which consists of functions.

Finite Algebra and Multiple-valued Logic

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Publisher : North Holland
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Algebra and Multiple-valued Logic by : B. Csákány

Download or read book Finite Algebra and Multiple-valued Logic written by B. Csákány and published by North Holland. This book was released on 1981 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Natural Function Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461380707
Total Pages : 252 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Natural Function Algebras by : Charles E. Rickart

Download or read book Natural Function Algebras written by Charles E. Rickart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "function algebra" usually refers to a uniformly closed algebra of complex valued continuous functions on a compact Hausdorff space. Such Banach alge bras, which are also called "uniform algebras", have been much studied during the past 15 or 20 years. Since the most important examples of uniform algebras consist of, or are built up from, analytic functions, it is not surprising that most of the work has been dominated by questions of analyticity in one form or another. In fact, the study of these special algebras and their generalizations accounts for the bulk of the re search on function algebras. We are concerned here, however, with another facet of the subject based on the observation that very general algebras of continuous func tions tend to exhibit certain properties that are strongly reminiscent of analyticity. Although there exist a variety of well-known properties of this kind that could be mentioned, in many ways the most striking is a local maximum modulus principle proved in 1960 by Hugo Rossi [RIl]. This result, one of the deepest and most elegant in the theory of function algebras, is an essential tool in the theory as we have developed it here. It holds for an arbitrary Banaeh algebra of £unctions defined on the spectrum (maximal ideal space) of the algebra. These are the algebras, along with appropriate generalizations to algebras defined on noncompact spaces, that we call "natural func tion algebras".

Polynomial Completeness in Algebraic Systems

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Publisher : CRC Press
ISBN 13 : 9781584882039
Total Pages : 378 pages
Book Rating : 4.8/5 (82 download)

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Book Synopsis Polynomial Completeness in Algebraic Systems by : Kalle Kaarli

Download or read book Polynomial Completeness in Algebraic Systems written by Kalle Kaarli and published by CRC Press. This book was released on 2000-07-21 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean algebras have historically played a special role in the development of the theory of general or "universal" algebraic systems, providing important links between algebra and analysis, set theory, mathematical logic, and computer science. It is not surprising then that focusing on specific properties of Boolean algebras has lead to new directions in universal algebra. In the first unified study of polynomial completeness, Polynomial Completeness in Algebraic Systems focuses on and systematically extends another specific property of Boolean algebras: the property of affine completeness. The authors present full proof that all affine complete varieties are congruence distributive and that they are finitely generated if and only if they can be presented using only a finite number of basic operations. In addition to these important findings, the authors describe the different relationships between the properties of lattices of equivalence relations and the systems of functions compatible with them. An introductory chapter surveys the appropriate background material, exercises in each chapter allow readers to test their understanding, and open problems offer new research possibilities. Thus Polynomial Completeness in Algebraic Systems constitutes an accessible, coherent presentation of this rich topic valuable to both researchers and graduate students in general algebraic systems.

Complex Function Algebras

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Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Complex Function Algebras by : Herbert Stanley Bear

Download or read book Complex Function Algebras written by Herbert Stanley Bear and published by . This book was released on 1957 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Real Function Algebras

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Publisher : CRC Press
ISBN 13 : 100014884X
Total Pages : 204 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Real Function Algebras by : S.H. Kulkarni

Download or read book Real Function Algebras written by S.H. Kulkarni and published by CRC Press. This book was released on 2020-08-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.

Banach Function Algebras, Arens Regularity, and BSE Norms

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Publisher : Springer Nature
ISBN 13 : 3031445325
Total Pages : 452 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Banach Function Algebras, Arens Regularity, and BSE Norms by : Harold Garth Dales

Download or read book Banach Function Algebras, Arens Regularity, and BSE Norms written by Harold Garth Dales and published by Springer Nature. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Homomorphisms on Algebras of Real Valued Functions Defined on Locally Convex Spaces and Bounding Sets

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Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis The Homomorphisms on Algebras of Real Valued Functions Defined on Locally Convex Spaces and Bounding Sets by : Peter Biström

Download or read book The Homomorphisms on Algebras of Real Valued Functions Defined on Locally Convex Spaces and Bounding Sets written by Peter Biström and published by . This book was released on 1993 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: