Finite nilsemigroups with modular congruence lattices. (English) Zbl 1446.20077

Summary: This paper continues the joint work [Semigroup Forum 95, No. 2, 314–320 (2017; Zbl 1422.20029)] of the author with P. R. Jones. We describe all finitely generated nilsemigroups with modular congruence lattices: there are 91 countable series of such semigroups. For finitely generated nilsemigroups a simple algorithmic test to the congruence modularity is obtained.


20M10 General structure theory for semigroups
08A30 Subalgebras, congruence relations
06C05 Modular lattices, Desarguesian lattices


Zbl 1422.20029
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