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- W1591084157 abstract "An ordered regular semigroup S is E-special if for every x ∈ S there is a biggest x + ∈ S such that both xx + and x + x are idempotent. Every regular strong Dubreil–Jacotin semigroup is E-special, as is every ordered completely simple semigroup with biggest inverses. In an E-special ordered regular semigroup S in which the unary operation x → x + is antitone the subset P of perfect elements is a regular ideal, the biggest inverses in which form an inverse transversal of P if and only if S has a biggest idempotent. If S + is a subsemigroup and S does not have a biggest idempotent, then P contains a copy of the crown bootlace semigroup." @default.
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- W1591084157 date "2015-06-04" @default.
- W1591084157 modified "2023-09-26" @default.
- W1591084157 title "E-special Ordered Regular Semigroups" @default.
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- W1591084157 doi "https://doi.org/10.1080/00927872.2014.918987" @default.
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