Universal Algebra - neues Buch

EAN (ISBN-13): 9789027712134
ISBN (ISBN-10): 9027712131
Gebundene Ausgabe
Erscheinungsjahr: 1981
Herausgeber: Springer
434 Seiten
Gewicht: 0,812 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-06-05T19:10:41+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-11-13T22:32:23+01:00 (Berlin)
ISBN/EAN: 9027712131

ISBN - alternative Schreibweisen:
90-277-1213-1, 978-90-277-1213-4
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: cohn sherbok, paul cohn, moritz, kruse kruse
Titel des Buches: universal algebra

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Daten vom Verlag:

Autor/in: P.M. Cohn
Titel: Mathematics and Its Applications; Universal Algebra
Verlag: Springer; Springer Netherland
412 Seiten
Erscheinungsjahr: 1981-04-30
Dordrecht; NL
Sprache: Englisch
171,19 € (DE)
175,99 € (AT)
189,00 CHF (CH)
Available
XVI, 412 p.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; algebra; category theory; field; lie algebra; linear algebra; semigroup; transformation; Algebra; BC; EA; BA

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.