Lattice isomorphisms of bisimple monogenic orthodox semigroups

Details Lattice isomorphisms of bisimple monogenic orthodox semigroups Lattice isomorphisms of bisimple monogenic orthodox semigroups

2011-07-25

arxiv.org/abs/1107.4821v1

Mathematics

Rings and Algebras

Semigroup Forum (published online: 15 April 2011)

Scientific paper

10.1007/s00233-011-9304-z

Using the classification and description of the structure of bisimple monogenic orthodox semigroups obtained in \cite{key10}, we prove that every bisimple orthodox semigroup generated by a pair of mutually inverse elements of infinite order is strongly determined by the lattice of its subsemigroups in the class of all semigroups. This theorem substantially extends an earlier result of \cite{key25} stating that the bicyclic semigroup is strongly lattice determined.

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