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Polynomial Completeness in Algebraic Systems - Kalle Kaarli, Alden F. Pixley
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Kalle Kaarli, Alden F. Pixley:

Polynomial Completeness in Algebraic Systems - gebunden oder broschiert

2000, ISBN: 1584882034

ID: 743106990

[EAN: 9781584882039], Neubuch, [PU: Taylor and Francis(Chapman and Hall/CRC)], (376 pages) 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.ALGEBRAS, LATTICES, AND VARIETIES Algebras, Languages, Clones, Varieties Congruence Properties CHARACTERIZATIONS OF EQUIVALENCE LATTICES Introduction Arithmeticity Compatible Function Lifting PRIMALITY AND GENERALIZATIONS Primality and Functional Completeness Near Unanimity Varieties Arithmetical Varieties Generalizations of Primality Categorical Equivalence AFFINE COMPLETE VARIETIES Introduction and Instructive Examples General properties Varieties with a Finite Residual Bound Locally Finite Affine Complete Varieties POLYNOMIAL COMPLETENESS IN SPECIAL VARIETIES Strictly Locally Affine Complete Algebras Modules Lattices Algebras Based on Distributive Lattices Semilattices Miscellaneous Results (Hardback)

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Polynomial Completeness in Algebraic Systems - Kalle Kaarli, Alden F. Pixley
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Kalle Kaarli, Alden F. Pixley:

Polynomial Completeness in Algebraic Systems - gebunden oder broschiert

ISBN: 1584882034

[SR: 4834730], Hardcover, [EAN: 9781584882039], Chapman and Hall/CRC, Chapman and Hall/CRC, Book, [PU: Chapman and Hall/CRC], Chapman and Hall/CRC, 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., 13893, Elementary, 13887, Algebra, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13950, Logic, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13953, Set Theory, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books

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Polynomial Completeness in Algebraic Systems - Kalle Kaarli, Alden F Pixley
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Kalle Kaarli, Alden F Pixley:
Polynomial Completeness in Algebraic Systems - gebunden oder broschiert

ISBN: 1584882034

ID: 1278920785

[EAN: 9781584882039], Neubuch, [PU: Taylor & Francis Inc], BRAND NEW, Polynomial Completeness in Algebraic Systems, Kalle Kaarli, Alden F Pixley, 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.

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Polynomial Completeness in Algebraic Systems (Hardback) - Kalle Kaarli, Alden F Pixley
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Kalle Kaarli, Alden F Pixley:
Polynomial Completeness in Algebraic Systems (Hardback) - gebunden oder broschiert

2000, ISBN: 1584882034

ID: 8741142750

[EAN: 9781584882039], Neubuch, [PU: Taylor Francis Inc, United States], Language: English Brand New Book. 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.

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Polynomial Completeness in Algebraic Systems - Kaarli, Kalle, Pixley, Alden F.
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Kaarli, Kalle, Pixley, Alden F.:
Polynomial Completeness in Algebraic Systems - Erstausgabe

2000, ISBN: 1584882034

ID: 19972545172

[EAN: 9781584882039], Gebraucht, guter Zustand, [PU: Chapman and Hall/CRC], Mathematics|Algebra|Elementary, Mathematics|Algebra|General, Mathematics|Logic, Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside.

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Details zum Buch
Polynomial Completeness in Algebraic Systems
Autor:

Pixley, Alden F.; Kaarli, Kalle; Kaarli, Kalle

Titel:

Polynomial Completeness in Algebraic Systems

ISBN-Nummer:

9781584882039

A study of polynomial completeness which focuses on and extends another specific property of Boolean algebras: the property of affine completeness. It describes the different relationships between the properties of lattices of equivalence relations and the systems of functions compatible with them.

Detailangaben zum Buch - Polynomial Completeness in Algebraic Systems


EAN (ISBN-13): 9781584882039
ISBN (ISBN-10): 1584882034
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: CHAPMAN & HALL
376 Seiten
Gewicht: 0,694 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 24.02.2008 06:03:54
Buch zuletzt gefunden am 10.11.2016 13:02:52
ISBN/EAN: 9781584882039

ISBN - alternative Schreibweisen:
1-58488-203-4, 978-1-58488-203-9

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