A Note on ℑE - Simple Left Restriction ω-Semigroup
Keywords:
&image, <sub>E</sub> -simple semigroup, left restriction, Green’s ~ - relations, ω- semigroupAbstract
In this paper, we study the ℑ<sub>E</sub> -simple left restriction - semigroup using the Bruck-Reilly extension  of a monoid M determined by a morphism . In particular, we characterise the Green’s -relations in . Consequently, we prove that  is a ℑ<sub>E</sub> -simple left restriction - semigroup
References
Asibong-Ibe U. *-Bisimple type A ω-semigroups 1, Semigroup Forum. 31(1985), 99-117.
Asibong-Ibe U. *-Simple type A ω-semigroups , Semigroup Forum. 47(1993), 135-149.
Fountain J.B . Adequate semigroups. Proc. London. Math. Soc 44(1982), 103-129
Fountain, J.B, Abundant semigroups, Proc. London.Math.Soc., (3) 44 (1982), 103-129.
Gould. V, Restriction semigroups, NBSAN, University of York, (2011), 1-26.
Howie J.M. Fundamentals of semigroup theory. Oxford University press Inc USA (1995).
Yu Shang and Limin Wang. *-Bisimple type A I-semigroup. Southeast Asian Bulletin of Math.
(2012), 535-545.
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