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M. Petrich. The translational hull in semigroups and rings. Semigroup Forum 1 (1970), 283-360.

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Article

The Translational Hull of a Left Restriction Semigroup

1Department of Mathematics/Statistics, Hezekiah University, Nkwerre, Nigeria

2Department of Mathematics/ Statistics, Akwa Ibom State University, Ikot Akpaden, Nigeria


American Journal of Mathematical Analysis. 2018, Vol. 6 No. 1, 1-4
DOI: 10.12691/ajma-6-1-1
Copyright © 2018 Science and Education Publishing

Cite this paper:
Ndubuisi R.U, Udoaka O.G. The Translational Hull of a Left Restriction Semigroup. American Journal of Mathematical Analysis. 2018; 6(1):1-4. doi: 10.12691/ajma-6-1-1.

Correspondence to: Ndubuisi  R.U, Department of Mathematics/Statistics, Hezekiah University, Nkwerre, Nigeria. Email: u.ndubuisi@hezekiah.edu.ng

Abstract

In this paper, the translational hull of a left restriction semigroup is considered. We prove that the translational hull of a left restriction semigroup is still of the same type. This result extends the result of Guo and Shum on translational hulls of type A semigroups given in 2003.

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