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Lattice isomorphisms of orthodox semigroups
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that the set of all orthodox subsemigroups of an orthodox semigroup forms a lattice. This lattice is a join-sublattice of the lattice of all semigroups, but is not in general a meet-sublattice. We obtain results concerning lattice isomorphisms between orthodox semigroups, several of which include known results for inverse semigroups as special cases.
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- Copyright © Australian Mathematical Society 1992
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