Algebraic Theory of Quasivarieties

Hardcover | September 30, 1998

byViktor A. Gorbunov

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The theory of quasivarieties constitutes an independent direction in algebra and mathematical logic and specializes in a fragment of first-order logic-the so-called universal Horn logic. This treatise uniformly presents the principal directions of the theory from an effective algebraic approach developed by the author himself. A revolutionary exposition, this influential text contains a number of results never before published in book form, featuring in-depth commentary for applications of quasivarieties to graphs, convex geometries, and formal languages. Key features include coverage of the Birkhoff-Mal'tsev problem on the structure of lattices of quasivarieties, helpful exercises, and an extensive list of references.

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The theory of quasivarieties constitutes an independent direction in algebra and mathematical logic and specializes in a fragment of first-order logic-the so-called universal Horn logic. This treatise uniformly presents the principal directions of the theory from an effective algebraic approach developed by the author himself. A r...

Format:HardcoverDimensions:312 pages, 9.25 × 6.1 × 0 inPublished:September 30, 1998Publisher:SpringerLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0306110636

ISBN - 13:9780306110634

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Table of Contents

Basic Notions. Finitely Presented Structures. Subdirectly Irreducible Structures. Join Semidistributive Lattices. Lattices of Quasivarieties. Quasi-Identities on Structures. Index.