Lattices and Ordered Algebraic Structures

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Lattices and Ordered Algebraic Structures

BLYTH, T.S. - Nama Orang;

Ordered sets; residuated mappings -- Lattices; lattice morphisms -- Regular equivalences -- Modular lattices -- Distributive lattices -- Complementation; boolean algebras -- Pseudocomplementation; Stone and Heyting algebras -- Congruences; subdirectly irreducible algebras -- Ordered groups -- Archimedean ordered structures -- Ordered semigroups; residuated semigroups -- Epimorphic group images; Dubreil-Jacotin semigroups -- Ordered regular semigroups -- Structure theorems.Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include: [bulleted list] residuated mappings Galois connections modular, distributive, and complemented lattices Boolean algebras pseudocomplemented lattices Stone algebras Heyting algebras ordered groups lattice-ordered groups representable groups Archimedean ordered structures ordered semigroups naturally ordered regular and inverse Dubreil-Jacotin semigroups [end od bulleted list] Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science. T. S. Blyth is Professor Emeritus at St. Andrews University, UK.

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9781846281273

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Informasi Detail

Judul Seri: -
No. Panggil: -
Penerbit: London : Springer., 2005
Deskripsi Fisik: X, 304 p.online resource.
Bahasa: English
ISBN/ISSN: 9781846281273
Klasifikasi: 512
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: 1st ed. 2005.
Subjek: Algebra.
Ordered algebraic structures.
Order, Lattices, Ordered Algebraic Structures.
Info Detail Spesifik: -
Pernyataan Tanggungjawab: T.S. Blyth.

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