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- W2392202896 abstract "The aim of this paper is to investigate abundant semigroups with a multiplicative adequate transversal.We give a structure of dual-pair of this semigroup.It derives from the conclusion of a regular semigroup with an inverse transversal.The main theorem is that if S0 is an adequate semigroup,E0 is the idempotent set of S0,I is a left normal band with a multiplicative adequate transversal E0,L is an abundant semigroup with a multiplicative adequate transversal S0 whose idempotents form a right normal band,we define a new operation on the set I|×|L and can get I|×|L is an abundant semigroup whose multiplicative adequate transversal is isomorphic to S0." @default.
- W2392202896 created "2016-06-24" @default.
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- W2392202896 date "2009-01-01" @default.
- W2392202896 modified "2023-09-24" @default.
- W2392202896 title "Abundant Semigroups with a Multiplicative Adequate Transversal" @default.
- W2392202896 hasPublicationYear "2009" @default.
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