Regular Subsets of Semigroups Related to
their Idempotents |
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| Authors: | Melanija Mitrovic |
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| Institution: | (1) University of Nis, Faculty of Mechanical Engineering, Aleksandra Medvedeva 14, 18000 Nis, Serbia and Montenegro |
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| Abstract: | For a subsemigroup T of a semigroup S, we let Reg(T)
and reg(T) denote respectively the set of all regular elements of T
and the set of all elements of T which are regular in S. We characterize
semigroups with Reg(T)=reg(T), where T runs over one of the following
families of subsemigroups: {Se | e ∈ E(S)}, {eS | e ∈ E(S)},
{eSf | e,f ∈ E(S)}. |
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| Keywords: | |
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