Completely semisimple semigroups and epimorphisms

Higgins, Peter M.

doi:10.1090/S0002-9939-1986-0822424-3

Completely semisimple semigroups and epimorphisms
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Proc. Amer. Math. Soc. 96 (1986), 387-390 Request permission

Abstract:

It is proved that a completely semisimple semigroup $U$ cannot be properly epimorphically embedded in another semigroup if $U$ has no infinite chain of $\mathcal {J}$-classes.

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The commutative varieties of semigroups for which epis are onto

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