Ordered Algebraic Structures  book cover
1st Edition

Ordered Algebraic Structures

ISBN 9780824773427
Published October 1, 1985 by CRC Press
216 Pages

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Book Description

Ordered Algebraic Structures combines the work of 22 research mathematicians to give full details on the diversifying fields of ordered algebraic structures. It covers order relations on groups, semigroups and rings. It investigates completions, embeddings and amalgamations finitely presented and free lattice-ordered groups, varieties of lattice-ordered groups and Mathiak valuation, intrinsic metrics and more

Table of Contents

Partially Ordered Semigroups with an Abundance of Principal Idempotents, 2-Group Completions from Lattice Completions, Above and Below Subgroups of a Lattice Ordered Group, And Example of the Lateral Completion of a Lattice-Ordered Group, Mathiak Valuations, Varieties of Representable Groups, Effective Extensions of Lattice-Ordered groups, Intrinsic Metrics for Lattice-Ordered groups, On Reversing the Order of a Lattice Ordered Group, On the Retractability of Some Two-Generator One-Relator Groups, &-groups of Piecewise Linear Functions.

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Wayne B. Powell is an Associate professor of Mathematics at Oklahmona State University. Constantine Tsinakis is an Assistant Professor of Mathematics at Vanderbilt University, Nashville.