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Transactions of the American Mathematical Society

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



Coextensions of regular semigroups by rectangular bands. II

Authors: John Meakin and K. S. S. Nambooripad
Journal: Trans. Amer. Math. Soc. 272 (1982), 555-568
MSC: Primary 20M10
MathSciNet review: 662053
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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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Keywords: Regular semigroup, inductive groupoid, coextension, rectangular band, spined product, normal mapping, functor, natural transformation
Article copyright: © Copyright 1982 American Mathematical Society