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Transactions of the American Mathematical Society

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

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Coextensions of regular semigroups by rectangular bands. II
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by John Meakin and K. S. S. Nambooripad PDF
Trans. Amer. Math. Soc. 272 (1982), 555-568 Request permission

Abstract:

A construction of all coextensions of a regular semigroup $S$ by rectangular bands is obtained. The construction is analogous to Hall’s construction of orthodox semigroups as spined products of bands and inverse semigroups and reduces to that construction when $S$ is inverse. The results are specialized to provide a construction of the category of all normal coextensions of a regular semigroup.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 272 (1982), 555-568
  • MSC: Primary 20M10
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0662053-9
  • MathSciNet review: 662053