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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Nonexistence of coreflections and coproducts in some subcategories of semigroups
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by P. G. Trotter PDF
Proc. Amer. Math. Soc. 80 (1980), 10-14 Request permission

Abstract:

It is shown here that there are no nontrivial free regular semigroups, free regular semigroups on a semigroup or free products of regular semigroups. Analogous results are obtained in the categories of simple, bisimple and bisimple regular semigroups.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 10-14
  • MSC: Primary 18A30; Secondary 18A40, 18B99, 20M50
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0574500-5
  • MathSciNet review: 574500