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- W2022402008 abstract "Let G0 be a group with zero and let G0Λ denote the semigroup of all row-monomial A × A matrices with entries in G0 The purpose of this paper is to characterize this class of semigroups. We define what is meant by saying a semigroup S is separated by an ideal T. It is then shown that if S is separated by a completely 0-simple ideal T then there is an isomorphism from S into a semigroup G0Λ, where Λ is an index set for the 0-minimal left ideals of T. The terms right abundant and complete are defined; and it is shown that S is isomorphic to G0Λ if and only if S is complete with respect to an ideal T which is a right abundant completely 0-simple semigroup." @default.
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- W2022402008 date "1978-01-01" @default.
- W2022402008 modified "2023-09-26" @default.
- W2022402008 title "Semigroups of row-monomial matrices" @default.
- W2022402008 cites W1585649433 @default.
- W2022402008 doi "https://doi.org/10.1016/0021-8693(78)90175-8" @default.
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