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arXiv · 2110.11612

On lattice isomorphisms of orthodox semigroups

Simon M. Goberstein
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Abstract

Two semigroups are lattice isomorphic if the lattices of their subsemigroups are isomorphic, and a class of semigroups is lattice closed if it contains every semigroup which is lattice isomorphic to some semigroup from that class. An orthodox semigroup is a regular semigroup whose idempotents form a subsemigroup. We prove that the class of all orthodox semigroups in which every nonidempotent element has infinite order is lattice closed.

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Simon M. Goberstein. 2021-10-22. On lattice isomorphisms of orthodox semigroups. https://doi.org/10.14232/actasm-020-558-7

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