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This article is cited in 2 scientific papers (total in 2 papers)
Semigroup Varieties on Whose Free Objects Almost All Fully Invariant Congruences are Weakly Permutable
B. M. Vernikov Ural State University
Abstract:
A semigroup variety is said to be of index $\leqslant2$ if all nil-semigroups of the variety are semigroups with zero multiplication. We describe all semigroup varieties $\mathcal V$ of index $\leqslant2$ on free objects of which every two fully invariant congruences contained in the least semilattice congruence are weakly permutable, and semigroup varieties of index $\leqslant2$ all of whose subvarieties share the above-mentioned property.
Keywords:
semigroup variety, nil-semigroup, weakly permutable congruence, fully invariant congruence.
Received: 18.11.2003
Citation:
B. M. Vernikov, “Semigroup Varieties on Whose Free Objects Almost All Fully Invariant Congruences are Weakly Permutable”, Algebra Logika, 43:6 (2004), 635–649; Algebra and Logic, 43:6 (2004), 357–364
Linking options:
https://www.mathnet.ru/eng/al98 https://www.mathnet.ru/eng/al/v43/i6/p635
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Abstract page: | 257 | Full-text PDF : | 95 | References: | 52 | First page: | 1 |
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