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- W2005446676 abstract "Abstract A partially ordered semigroup S is said to be a Dubreil-Jacotin semigroup if there is an isotone homomorphism θ of S onto a partially ordered group such that { } has a greatest member. In this paper we investigate the structure of regular Dubreil-Jacotin semigroups in which the imposed partial order extends the natural partial order on the idempotents. The main tool used is a local structure theorem which is introduced in Section 2. This local structure theorem applies to many other contexts as well." @default.
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- W2005446676 title "Regular Rees matrix semigroups and regular Dubreil-Jacotin semigroups" @default.
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- W2005446676 doi "https://doi.org/10.1017/s1446788700019467" @default.
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