A Class of *-Simple Type A I-Semigroups


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Authors

  • R. U. Ndubuisi Department of Mathematics & Statistics, University of Port Harcourt, Port Harcourt, Nigeria
  • U. I. Asibong-Ibe Department of Mathematics & Statistics, University of Port Harcourt, Port Harcourt, Nigeria
  • I. U. UdoAkpan Department of Mathematics & Statistics, University of Port Harcourt, Port Harcourt, Nigeria

Keywords:

Type A I-semigroups, cancellative monoids, generalized Bruck-Reilly *-extensions

Abstract

*-simple type A I-semigroups as the generalized Bruck-Reilly *-extensions is studied and properties obtained. It is proved that a semigroup $S$ is a *-simple type A I-semigroup if and only if it can be expressed as $S=GBR^*(T,\theta)$ where $T$ is a finite chain of cancellative monoids. Thus the structure of *-simple type A I-semigroups is described and the results obtained is amplified in the light of studies on simple I-regular semigroups by Warne and that of *-simple type A $\omega$-semigroups by Asibong-Ibe.

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Published

15-03-2018

How to Cite

R. U. Ndubuisi, U. I. Asibong-Ibe, & I. U. UdoAkpan. (2018). A Class of *-Simple Type A I-Semigroups. International Journal of Mathematics And Its Applications, 6(1 - E), 1227–1234. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1226

Issue

Vol. 6 No. 1 - E (2018)

Section

Research Article

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