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<journal-id journal-id-type="publisher">journalspress</journal-id>
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<journal-title>JournalsPress</journal-title>
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<article-id pub-id-type="publisher-id">64522</article-id>
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<article-title>On homomorphisms (good homomorphisms) between completely J??-simple semigroups</article-title>
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<title>Full Text</title>
<p>It is known that every completely -simple semigroup is isomorphic to a normalized Rees matrix semigroup over a - monoid. Utilizing this result, we show that the homomorphism of a completely -simple semigroup is a good homomorphism. Consequently, we give a construction theorem of homomorphisms between completely -simple semigroups. This result strengthens the one given by Ren et al in [8] on homomorphisms of completely -simple semigroups.</p>
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