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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 62 | Number 2 | Year 2018 | Article Id. IJMTT-V62P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P519

Faithful Representation of Translational Hull of Type A Semigroup


Offor Paschal U, Asibong – Ibe U, Udoakpan I.U
Abstract

Fountain(1979) obtained monoid embedding of type A semigroup into an inverse semigroup. In this piece of work, we extend this result to translational hulls and, in effect, give a faithful representation of translational hull of type A semigroup with some accompanying results.

Keywords
faithful representation, translational hull
References

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[3] El-Qallali(1987): Quasi – Adeqaute Semigroups. International Center for Theoretical Physics, Trieste – Italy.
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[9] Guo Xiaojiang and Guo Yuqi (2000): The Translational Hull of a Strong Right Type A Semigroup. Science In China(Series A)44(1) 6-12.
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[12] Lawson M. V (1985): The Natural Partial Order on an Abundant Semigroup. 169 – 185.
[13] Lawson M. V (1986): The Structure of Type A Semigroups. Quart. J, Math. Oxford 37(2) 279 – 298.
[14] Reilly N. R(1974a): The Translational Hull of an Inverse Semigroup. Can. J. Math., Vol. XXVI, No(5) 1050-1068.
[15] Reilly N. R(1974b): Extension of Congruences and Homomorphisms to Translational Hulls. Pacific Journal of Mathematics, vol.54(1) 209-228.

Citation :

Offor Paschal U, Asibong – Ibe U, Udoakpan I.U, "Faithful Representation of Translational Hull of Type A Semigroup," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 2, pp. 134-142, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P519

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