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The Algebraic Theory of Semigroups, Volume I
A. H. Clifford and G. B. Preston

Mathematical Surveys and Monographs
1961; 224 pp; softcover
Volume: 7
Reprint/Revision History:
reprinted with corrections 1977; fifth printing 2001
ISBN-10: 0-8218-0271-2
ISBN-13: 978-0-8218-0271-7
List Price: US$49
Member Price: US$39.20
Order Code: SURV/7.1
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The material in this volume was presented in a second-year graduate course at Tulane University, during the academic year 1958-1959. The book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices. Only in Chapter 5 will more preliminary knowledge be required, and even there the classical definitions and theorems on the matrix representations of algebras and groups are summarized.

Table of Contents

  • Elementary concepts
  • Ideals and related concepts
  • Representation by matrices over a group with zero
  • Decompositions and extensions
  • Representation by matrices over a field
  • Appendix A
  • Bibliography
  • Author index
  • Index
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