On A Type <i>A </i>Semigroup of Congruence Classes

Authors

  • Paschal U. Offor ALVAN IKOKU FEDERAL COLLEGE OF EDUCATION OWERRI, IMO STATE, NIGERIA

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.

Author Biography

Paschal U. Offor, ALVAN IKOKU FEDERAL COLLEGE OF EDUCATION OWERRI, IMO STATE, NIGERIA

LECTURER III

ALVAN IKOKU FEDERAL COLLEGE OF EDUCATION OWERRI, IMO STATE, NIGERIA

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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Published

2016-04-16

How to Cite

Offor, P. U. (2016). On A Type <i>A </i>Semigroup of Congruence Classes. Asian Journal of Applied Sciences, 4(2). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/3533

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