Semigroup Forum

, 42:265 | Cite as

Oids, finite sums and the structure of the Stone-Čech compactification of a discrete semigroup

  • Talin Papazyan
Research Article

Abstract

The equivalence between oids and semigroups which satisfy a condition involving finite sums is established. Some of the already known results on the structure of Stone-Čech compactifications of discrete semigroups are obtained as immediate consequences. It is also shown that most commutative semigroups contain oids so that oid theory has applications to the Stone-Čech compactifications of many semigroups.

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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Talin Papazyan
    • 1
    • 2
  1. 1.Department of Pure MathematicsThe UniversitySheffieldEngland
  2. 2.Matematik BolumuBogazici UniversitesiBebek IstanbulTurkey

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