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Epimorphisms and pseudovarieties https://arxiv.org/abs/2504.13311 #mathGR

Epimorphisms and pseudovarieties

For each of the following conditions, we characterize the pseudovarieties of semigroups V that satisfy it: (i) every epimorphism to a member of V is onto; (ii) every epimorphism to a finite semigroup with domain a member of V is onto; (iii) for every epimorphism from S to T with S in V and T finite, T is also a member of V.

arXiv.org
April 22, 2025 at 3:10 AM · · feed2toot · 0 · 0 · 0
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