Techniques of semigroup theory

Peter M. Higgins

This book introduces recently developed ideas and techniques in semigroup theory to provide a handy reference guide previously unavailable in a single volume. The opening chapter provides sufficient background to enable the reader to follow any of the subsequent chapters, and would by itself be suitable for a first course in semigroup theory. The second chapter gives an account of free inverse semigroups leading to proofs of the McAlister P-theorems. Subsequent chapters have the underlying theme of diagrams and mappings, and the new material includes the theory of biordered sets of Nambooripad and Easdown, the semigroup diagrams of Remmers and Jackson with applications to the one-relator, and other word problems, a short proof of Isbell's Zigzag theorem with applications to epimorphisms and amalgams, together with combinatorial, probabalistic and graphical techniques used to prove results including Schein's Covering Theorem and Howie's Gravity Formula for finite full transformation semigroups. Nearly two hundred exercises serve the dual purpose of illustrating the richness of the subject while allowing the reader to come to grips with the material.

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[目次]

  • Fundamentals
  • Free inverse semigroups and the theorems of McAlister
  • Biordered sets
  • Zigzags and their applications
  • Semigroup diagrams and word problems
  • Combinatorial aspects of transformation semigroups
  • References
  • Glossary of notation
  • Index.

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この本の情報

書名 Techniques of semigroup theory
著作者等 Higgins, Peter M
シリーズ名 Oxford science publications
出版元 Oxford University Press
刊行年月 1992
ページ数 x, 258 p.
大きさ 25 cm
ISBN 0198535775
NCID BA14087995
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言語 英語
出版国 イギリス
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