A course in constructive algebra / Ray Mines, Fred Richman, Wim Ruitenburg

Auteur: Mines, Ray (1938-2013) - AuteurCo-auteur: Richman, Fred (1938-) - Auteur ; Ruitenburg, Wim (1955-) - AuteurType de document: Monographie Collection: Universitext Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, 1988Description: 1 vol. (XI-344 p.) ; 24 cm ISBN: 9780387966403 ; br. Note: The book covers a wide portion of algebra; after an introductory part (regarding the constructive notion of set and the basic algebraic concepts) the successive chapters are devoted to rings and modules, divisibility in discrete domains, principal ideal domains, field theory, factoring polynomials, commutative Noetherian rings, finite-dimensional algebras, free groups, Abelian groups, valuation theory and Dedekind domains. The book may be regarded as self-contained, even though some familiarity with the classical subject is presumed at both the student's and the researcher's level. Some familiarity with the general concepts, methods and purposes of Constructive Mathematics may be useful as well, in order to make smoother the impact with the first chapters of the book. (Zentralblatt)Bibliographie: Bibliogr. p. 335-338. Index. Sujets MSC: 03F05 Mathematical logic and foundations -- Proof theory and constructive mathematics -- Cut-elimination and normal-form theorems
13-01 Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.)
03-01 Mathematical logic and foundations -- Instructional exposition (textbooks, tutorial papers, etc.)
En-ligne: Springerlink | Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 04663-01 / 03 MIN (Browse Shelf) Available

The book covers a wide portion of algebra; after an introductory part (regarding the constructive notion of set and the basic algebraic concepts) the successive chapters are devoted to rings and modules, divisibility in discrete domains, principal ideal domains, field theory, factoring polynomials, commutative Noetherian rings, finite-dimensional algebras, free groups, Abelian groups, valuation theory and Dedekind domains. The book may be regarded as self-contained, even though some familiarity with the classical subject is presumed at both the student's and the researcher's level. Some familiarity with the general concepts, methods and purposes of Constructive Mathematics may be useful as well, in order to make smoother the impact with the first chapters of the book. (Zentralblatt)

Bibliogr. p. 335-338. Index

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