Structure mappings, coextensions and regular four-spiral semigroups

Meakin, John

doi:10.1090/S0002-9947-1979-0542873-1

Structure mappings, coextensions and regular four-spiral semigroups
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by John Meakin

Trans. Amer. Math. Soc. 255 (1979), 111-134

DOI: https://doi.org/10.1090/S0002-9947-1979-0542873-1

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Abstract:

The structure mapping approach to regular semigroups developed by K. S. S. Nambooripad and J. Meakin is used to describe the $\mathcal {K}$-coextensions of the fundamental four-sprial semigroup and hence to describe the structure of all regular semigroups whose idempotents form a four-spiral biordered set. Isomorphisms between regular four-spiral semigroups are studied. The notion of structural uniformity of a regular semigroup is defined and exploited.

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