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- W2084206381 abstract "By an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each x ∈ S, in relation to the natural partial order ≤ S in S. In this article, we investigate a class of orthodox monoids with an associate inverse subsemigroup and obtain a known description of uniquely unit regular orthodox semigroups as a corollary. Also, by considering a more general situation, we identify the homomorphic image of a kind of semidirect product of a band with identity by an inverse monoid, thus extending a known result for unit regular orthodox semigroups." @default.
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- W2084206381 date "2010-12-30" @default.
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- W2084206381 title "Some Orthodox Monoids with Associate Inverse Subsemigroups" @default.
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- W2084206381 doi "https://doi.org/10.1080/00927870903428254" @default.
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