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Finitely convergent and concentric semigroups

Author: M. Satyanarayana
Journal: Proc. Amer. Math. Soc. 81 (1981), 9-13
MSC: Primary 20M10
MathSciNet review: 589127
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Abstract: In this paper we shall study Tamura’s finitely convergent and concentric semigroups and provide some structure theorems. In particular commutative finitely convergent semigroups are completely characterized.

References [Enhancements On Off] (What's this?)

  • Mario Petrich, Introduction to semigroups, Charles E. Merrill Publishing Co., Columbus, Ohio, 1973. Merrill Research and Lecture Series. MR 0393206
  • M. Satyanarayana, On a class of semisimple semigroups, Semigroup Forum 10 (1975), no. 2, 129–138. MR 382514, DOI
  • Takayuki Tamura, The study of closets and free contents related to semilattice decomposition of semigroups, Semigroups (Proc. Sympos., Wayne State Univ., Detroit, Mich., 1968), Academic Press, New York, 1969, pp. 221–260. MR 0306378
  • Takayuki Tamura, Notes on medial archimedean semigroups without idempotent, Proc. Japan Acad. 44 (1968), 776–778. MR 240224

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Keywords: Finitely convergent, concentric semigroups, closet
Article copyright: © Copyright 1981 American Mathematical Society