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Nineteen Papers on Algebraic Semigroups
A. Ya. Aĭzenshtat, A. E. Evseev, N. E. Podran, I. S. Ponizovskiĭ, B. M. Shaĭn, È. G. Shutov, and Yu. M. Vazhenin
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American Mathematical Society Translations--Series 2
1988; 210 pp; hardcover
Volume: 139
ISBN-10: 0-8218-3115-1
ISBN-13: 978-0-8218-3115-1
List Price: US$102
Member Price: US$81.60
Order Code: TRANS2/139
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This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.

Table of Contents

  • A. Ya. Aĭzenshtat -- Homomorphisms of semigroups of endomorphisms of ordered sets
  • A. Ya. Aĭzenshtat -- On ideals of semigroups of endomorphisms
  • A. Ya. Aĭzenshtat -- Subgroups of semigroups of endomorphisms of ordered sets
  • A. Ya. Aĭzenshtat -- Regular semigroups of endomorphisms of ordered sets
  • A. Ya. Aĭzenshtat -- Certain semigroups of endomorphisms that determine the order in a set
  • A. E. Evseev -- A survey of studies in partial groupoids
  • A. E. Evseev and N. E. Podran -- Semigroups of transformations of a finite set generated by idempotents with given projection characteristics
  • A. E. Evseev and N. E. Podran -- Semigroups of transformations generated by idempotents with given defect
  • I. S. Ponizovskiĭ -- Transitive representations by transformations of semigroups of a certain class
  • B. M. Shaĭn -- Embedding semigroups in generalized groups
  • B. M. Shaĭn -- Certain classes of semigroups of binary relations
  • B. M. Shaĭn -- Certain comitants of semigroups of binary relations
  • B. M. Shaĭn -- The idempotent semigroup is determined by its pseudogroup of local automorphisms
  • B. M. Shaĭn -- Semigroups for which every transitive representation by functions is a representation by invertible functions
  • B. M. Shaĭn -- Inverse semigroups that do not admit isomorphic representations by partial transformations of their proper subsets
  • G. Shutov -- Homomorphisms of the semigroups of all partial transformations
  • G. Shutov -- On a certain semigroup of 1-1 transformations
  • G. Shutov -- Imbedding of semigroups
  • Yu. M. Vazhenin -- Inverse codes
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