## 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.## References

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## Bibliographic Information

- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**255**(1979), 111-134 - MSC: Primary 20M10
- DOI: https://doi.org/10.1090/S0002-9947-1979-0542873-1
- MathSciNet review: 542873