On the relationship between AP, RS and CEP
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- by Keith A. Kearnes PDF
- Proc. Amer. Math. Soc. 105 (1989), 827-839 Request permission
Abstract:
We prove that in a residually small congruence modular variety the amalgamation property implies the commutator condition ${\text {R}}$. A consequence of this is that, for all congruence modular varieties, ${\text {AP + RS}}$ implies the CEP. We also show that this implication holds for any variety of semigroups.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 827-839
- MSC: Primary 08B10; Secondary 03C05, 03G99, 08B25, 20M07
- DOI: https://doi.org/10.1090/S0002-9939-1989-0952317-5
- MathSciNet review: 952317