A Note on ℑ<sub>E</sub> - Simple Left Restriction Ï‰-Semigroup
Keywords:&image, <sub>E</sub> -simple semigroup, left restriction, Greenâ€™s ~ - relations, Ï‰- semigroup
In this paper, we study the ℑ<sub>E</sub> -simple left restriction - semigroup using the Bruck-Reilly extension Â of a monoid M determined by a morphism . In particular, we characterise the Greenâ€™s -relations in . Consequently, we prove that Â is a ℑ<sub>E</sub> -simple left restriction - semigroup
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