Free lattices / Ralph Freese, Jaroslav Ježek, J.B. Nation.

Format:

Book

Author/Creator:

Freese, Ralph S., 1946- author.

Ježek, Jaroslav, 1945- author.

Nation, J. B. (James Bryant), 1948- author.

Series:

Mathematical surveys and monographs ; no. 42.

Mathematical surveys and monographs, 0076-5376 ; volume 42

Language:

English

Subjects (All):

Lattice theory.

Physical Description:

1 online resource (304 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1995]

Language Note:

English

Summary:

A thorough treatment of free lattices, including such aspects as Whitman's solution to the word problem, bounded monomorphisms and related concepts, totally atomic elements, infinite intervals, computation, term rewrite systems, and varieties. Includes several results that are new or have not been previously published. Annotation copyright by Book News, Inc., Portland, OR

Contents:

""Contents""; ""Introduction""; ""Chapter I. Whitman's Solution to the Word Problem""; ""Chapter II. Bounded Homomorphisms and Related Concepts""; ""Chapter III. Covers in Free Lattices""; ""Chapter IV. Day's Theorem Revisited""; ""Chapter V. Sublattices of Free Lattices and Projective Lattices""; ""Chapter VI. Totally Atomic Elements""; ""Chapter VII. Finite Intervals and Connected Components""; ""Chapter VIII. Singular and Semisingular Elements""; ""Chapter IX. Tschantz's Theorem and Maximal Chains""; ""Chapter X. Infinite Intervals""

""Chapter XI. Computational Aspects of Lattice Theory""""Chapter XII. Term Rewrite Systems and Varieties of Lattices""; ""Open Problems""; ""Bibliography""; ""List of Symbols""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""

Notes:

Description based upon print version of record.

Includes bibliographical references (pages 281-283) and indexes.

Description based on print version record.

ISBN:

1-4704-1273-X