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- W2029828758 abstract "We consider particular compatible orders on a given completely simple semigroup S x =M(〈x〉; I ,Λ;P) where 〈x〉 is an ordered cyclic group with x > 1 and P 11 =x -1 . Of these, only the lexicographic and bootlace orders yield residuated semigroups. With the lexicographic order, S x is orthodox and has a biggest idempotent. With the bootlace order, the maximal idempotents of S x are identified by specific locations in the sandwich matrix. In the orthodox case there is also a biggest idempotent and, for sandwich matrices of a given size, uniqueness up to ordered semigroup isomorphism is established." @default.
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- W2029828758 date "2014-04-11" @default.
- W2029828758 modified "2023-09-27" @default.
- W2029828758 title "Residuated Completely Simple Semigroups" @default.
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- W2029828758 doi "https://doi.org/10.1142/s1005386714000145" @default.
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