• Title/Summary/Keyword: completely right injective semigroup

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ON THE SEMIATOMICITY FOR COMPLETELY RIGHT INJECTIVE SEMIGROUPS

  • Moon, Eun-Ho
    • Communications of the Korean Mathematical Society
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    • v.19 no.1
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    • pp.1-10
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    • 2004
  • We here consider necessary and sufficient conditions for a completely right injective semigroup S whose lattice L(S) of right congruences on S is semiatomic. These are preceded by a number of results on the characterization of a semigroup S in which every automaton over S is injective(called a completely right injective semigroup).