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[EAN: 9789027712547], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ALGEBRA; CATEGORYTHEORY; FIELD; LIEALGEBRA; LINEARALGEBRA; SEMIGROUP; TRANSFORMATION, Druck auf Anfrage Neuware - The… Meer...

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Universal Algebra (Mathematics and its applications, vol.6) - pocketboek

2013, ISBN: 9789027712547

D. Reidel Publishing Company, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1981, 412 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: orig… Meer...

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Universal Algebra: 6 (Mathematics and Its Applications, 6) - pocketboek


ISBN: 9789027712547

Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1981, 428 Seiten, Publiziert: 1981-04-30T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: original pub.date: 04-81 (… Meer...

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Universal Algebra (Mathematics and Its Applications) - pocketboek

2013, ISBN: 9027712549

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Universal Algebra - P.M. Cohn (author)
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Bijzonderheden over het boek
Universal Algebra (Mathematics and its applications, vol.6)

The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted to the subject, whether introductory or specialized. Today the specialist in the field is well provided for, but there is still a demand for an introduction to the subject to suit the user, and this seemed to justify a reissue of the book. Naturally some changes have had to be made; in particular, I have corrected all errors that have been brought to my notice. Besides errors, some obscurities in the text have been removed and the references brought up to date. I should like to express my thanks to a number of correspondents for their help, in particular C. G. d'Ambly, W. Felscher, P. Goralcik, P. J. Higgins, H.-J. Hoehnke, J. R. Isbell, A. H. Kruse, E. J. Peake, D. Suter, J. S. Wilson. But lowe a special debt to G. M. Bergman, who has provided me with extensive comments. particularly on Chapter VII and the supplementary chapters. I have also con- sulted reviews of the first edition, as well as the Italian and Russian translations.

Gedetalleerde informatie over het boek. - Universal Algebra (Mathematics and its applications, vol.6)

EAN (ISBN-13): 9789027712547
ISBN (ISBN-10): 9027712549
pocket book
Verschijningsjaar: 2007
Uitgever: D. Reidel Publishing Company
436 Bladzijden
Gewicht: 0,649 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-04-30T20:52:10+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-10-12T20:20:51+02:00 (Amsterdam)
ISBN/EAN: 9789027712547

ISBN - alternatieve schrijfwijzen:
90-277-1254-9, 978-90-277-1254-7

Gegevens van de uitgever

Auteur: P.M. Cohn
Titel: Mathematics and Its Applications; Universal Algebra
Uitgeverij: Springer; Springer Netherland
412 Bladzijden
Verschijningsjaar: 1981-04-30
Dordrecht; NL
Gewicht: 1,340 kg
Taal: Engels
96,29 € (DE)
98,99 € (AT)
106,50 CHF (CH)

BC; Book; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; algebra; category theory; field; lie algebra; linear algebra; semigroup; transformation; C; Algebra; Algebra; Mathematics and Statistics; BB; BC

I: Sets and Mappings.- 1. The Axioms of Set Theory.- 2. Correspondences.- 3. Mappings and Quotient Sets.- 4. Ordered Sets.- 5. Cardinals and Ordinals.- 6. Categories and Functors.- II: Algebraic Structures.- 1. Closure Systems.- 2. ?-Algebras.- 3. The Isomorphism Theorems.- 4. Lattices.- 5. The Lattice of Subalgebras.- 6. The Lattice of Congruences.- 7. Local and Residual Properties.- 8. The Lattice of Categories of ?-Algebras.- III. Free Algebras.- 1. Universal Functors.- 2. ?-Word Algebras.- 3. Clones of Operations.- 4. Representations in Categories of ?-Algebras.- 5. Free Algebras in Categories of ?-Algebras.- 6. Free and Direct Composition of ?-Algebras.- 7. Derived Operators.- 8. Presentations of ?-Algebras.- 9. The Word Problem.- IV. Varieties.- 1. Definition and Basic Properties.- 2. Free Groups and Free Rings.- 3. The Generation of Varieties.- 4. Representations in Varieties of Algebras.- V. Relational Structures and Models.- 1. Relational Structures over a Predicate Domain.- 2. Boolean Algebras.- 3. Derived Predicates.- 4. Closed Sentence Classes and Axiomatic Model Classes.- 5. Ultraproducts and the Compactness Theorem.- 6. The Model Space.- VI. Axiomatic Model Classes.- 1. Reducts and Enlargements.- 2. The Local Determination of Classes.- 3. Elementary Extensions.- 4. p-Closed Classes and Quasivarieties.- 5. Classes Admitting Homomorphic Images.- 6. The Characterization of Axiomatic Model Classes.- VII. Applications.- 1. The Natural Numbers.- 2. Abstract Dependence Relations.- 3. The Division Problem for Semigroups and Rings.- 4. The Division Problem for Groupoids.- 5. Linear Algebras.- 6. Lie Algebras.- 7. Jordan Algebras.- Foreword to the Supplements.- VIII. Category Theory and Universal Algebra.- 1. The Principle of Duality.- 2. Adjoint Pairs of Functors.- 3. Monads.- 4. Algebraic Theories.- IX. Model Theory and Universal Algebra.- 1. Inductive Theories.- 2. Complete Theories and Model Complete Theories.- 3. Model Completions.- 4. The Forcing Companion.- 5. The Model Companion.- 6. Examples.- X. Miscellaneous Further Results.- 1. Subdirect Products and Pullbacks.- 2. The Reduction to Binary Operations.- 3. Invariance of the Rank of Free Algebras.- 4. The Diamond Lemma for Rings.- 5. The Embedding of Rings in Skew Fields.- XI. Algebra and Language Theory.- 1. Introduction.- 2. Grammars.- 3. Machines.- 4. Transductions.- 5. Monoids.- 6. Power Series.- 7. Transformational Grammars.- Bibliography and Name Index.- List of Special Symbols.

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