The isomorphism problem for orthodox semigroups
THOMAS E. HALL · Pacific Journal of Mathematics · 1989
The author's structure theorem for orthodox semigroups produced an orthodox semigroup %?(E t T, ψ) from a band £, an inverse semigroup T and a morphism ψ between two inverse semigroups, namely T and WΈIyi an inverse semigroup constructed from E. Here, we solve the isomorphism problem: when are two such orthodox semigroups isomorphic?This leads to a way of producing all orthodox semigroups, up to isomorphism, with prescribed band E and maximum inverse semigroup morphic image T.