Extending congruences on semigroups
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- by A. R. Stralka PDF
- Trans. Amer. Math. Soc. 166 (1972), 147-161 Request permission
Abstract:
The two main results are: (1) Let S be a semigroup which satisfies the relation $abcd = acbd$, let A be a subsemigroup of Reg S which is a band of groups and let $[\varphi ]$ be a congruence on A. Then $[\varphi ]$ can be extended to a congruence on S. (2) Let S be a compact topological semigroup which satisfies the relation $abcd = acbd$, let A be a closed subsemigroup of Reg S and let $[\varphi ]$ be a closed congruence on A such that $\dim \varphi (A)|\mathcal {H} = 0$. Then $[\varphi ]$ can be extended to a closed congruence on S.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 166 (1972), 147-161
- MSC: Primary 22A15
- DOI: https://doi.org/10.1090/S0002-9947-1972-0294557-9
- MathSciNet review: 0294557