Abstract
A structure theorem for bisimple orthodox semigroups was given by Clifford [2]. In this paper we determine all homomorphisms of a certain type from one bisimple orthodox semigroup into another, and apply the results to give a structure theorem for any semilattice of bisimple orthodox semigroups with identity in which the set of identity elements forms a subsemigroup. A special case of these results is indicated for bisimple left unipotent semigroups.
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References
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Communicated by Mario Petrich
Dedicated to Stefan Schwarz on his 60th birthday
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LaTorre, D.R. Semilattices of bisimple orthodox semigroups. Semigroup Forum 9, 172–178 (1974). https://doi.org/10.1007/BF02194845
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DOI: https://doi.org/10.1007/BF02194845