2025/04/17 by Almeida, Jorge, Shah, Aftab Hussain
#20M07 #20M50 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2504.13311
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.