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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Finitely convergent and concentric semigroups
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by M. Satyanarayana PDF
Proc. Amer. Math. Soc. 81 (1981), 9-13 Request permission

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
  • Mario Petrich, Introduction to semigroups, Merrill Research and Lecture Series, Charles E. Merrill Publishing Co., Columbus, Ohio, 1973. MR 0393206
  • M. Satyanarayana, On a class of semisimple semigroups, Semigroup Forum 10 (1975), no. 2, 129–138. MR 382514, DOI 10.1007/BF02194880
  • 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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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 9-13
  • MSC: Primary 20M10
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0589127-X
  • MathSciNet review: 589127