4 citations · 12 across the 6 of their papers we have counts for
6 papers
On lattice isomorphisms of orthodox semigroups
Simon M. Goberstein
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 lat…
Perfect congruences on bisimple -semigroups
Simon M. Goberstein, Katherine Grimshaw, Anthony Kling +2
A congruence on a semigroup is perfect if for any congruence classes and their product as subsets of coincides (as a set) with t…
Inverse semigroups determined by their partial automorphism monoids
Simon M. Goberstein
The partial automorphism monoid of an inverse semigroup is an inverse monoid consisting of all isomorphisms between its inverse subsemigroups. We prove that a tightly connected fun…
$\cPA$-isomorphisms of inverse semigroups
Simon M. Goberstein
A partial automorphism of a semigroup is any isomorphism between its subsemigroups, and the set all partial automorphisms of with respect to composition is the inverse mono…
Lattice isomorphisms of bisimple monogenic orthodox semigroups
Simon M. Goberstein
Using the classification and description of the structure of bisimple monogenic orthodox semigroups obtained in \cite{key10}, we prove that every bisimple orthodox semigroup genera…
Bisimple monogenic orthodox semigroups
Simon M. Goberstein
We give a complete description of the structure of all bisimple orthodox semigroups generated by two mutually inverse elements.