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- W4300758489 abstract "Lee and Kwon [12] defined an ordered semigroup S to be completely regular if a 2 (a2Sa2] for every a 2 S. We characterize every completely regular ordered semigroup as a union of t-simple subsemigroups, and every Clifford ordered semigroup as a complete semilattice of t-simple subsemigroups. Green's Theorem for the completely regular ordered semigroups has been established. In an ordered semigroup S, we call an element e an ordered idempotent if it satisfies e ? e2. Different characterizations of the regular, completely regular and Clifford ordered semigroups are done by their ordered idempotents. Thus a foundation for the completely regular ordered semigroups and Clifford ordered semigroups has been developed" @default.
- W4300758489 created "2022-10-04" @default.
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- W4300758489 date "2017-01-05" @default.
- W4300758489 modified "2023-09-25" @default.
- W4300758489 title "On completely regular and Clifford ordered semigroups" @default.
- W4300758489 doi "https://doi.org/10.48550/arxiv.1701.01282" @default.
- W4300758489 hasPublicationYear "2017" @default.
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