On A Type A Semigroup of Congruence Classes
Abstract
A congruence, characterized by -relations, is constructed on a regular type semigroup. The resulting set of congruence classes is shown to be a type semigroup. Commutativity of the morphisms between the semigroups, described by their kernels, is established.References
Asibong-Ibe U : Representation of Type A Monoids. Bull Austral Math Soc. 44(1991) 131 – 138.
Asibong-Ibe U: *-Simple Type A ω-Semigroups. Semigroup Forum 47 (1993) 135 – 149.
El-Qallali : Quasi – Adeqaute Semigroups. International Center for Theoretical Physics, Trieste –
Fountain J. B: Adequate Semigroups. Proc. Edinburgh Math. Soc. 22 (1979) 113 – 125.
Howie J. M: Fundamentals of Semigroup Theory. Oxford University Press Inc. (1995)
Howie J. M: The Maximum Idempotent – Separating Congruence on an Inverse Semigroup. Glasgow University (1963).
Lawson M. V : The Structure of Type A Semigroups. Quart. J, Math. Oxford (2), 37 (1986), 279 – 298.
Ren X. M., Shum K. P: The Structure of Q^*-Inverse Semigroups. Journal of Algebra 325 (2011) 1 – 17.
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