Semilattice of bisimple regular semigroups
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- by H. R. Krishna Iyengar PDF
- Proc. Amer. Math. Soc. 28 (1971), 361-365 Request permission
Abstract:
The main purpose of this paper is to show that a regular semigroup $S$ is a semilattice of bisimple semigroups if and only if it is a band of bisimple semigroups and that this holds if and only if $\mathcal {D}$ is a congruence on $S$. It is also shown that a quasiregular semigroup $S$ which is a rectangular band of bisimple semigroups is itself bisimple.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 361-365
- MSC: Primary 20.93
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274624-0
- MathSciNet review: 0274624