On Free ɼ-Semigroups

Authors

  • Jollanda Shara Department of Mathematics&Computer Science, University “Eqrem Cabej”, 6001, Gjirokaster, Albania

DOI:

https://doi.org/10.53555/ms.v3i5.229

Keywords:

free, UMP, presentation.

Abstract

In this paper we give a construction of free Γ-semigroups using the UMP. We describe some of their
properties and finally, we give some results about their presentations.

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References

John M.Howie, (2003), Fundamentals of Semigroup Theory, Clarendon Press, Oxford.

M.K.Sen and N.K.Saha, (1986), On Γ-semigroup I, Bull.Cal.Math.Soc.78, 181-186.

E.Pasku, (2013) The universal semigroup of a Γ-semigroup, https://arxiv.org, 1-7.

A.Seth, (1992) Γ-Group congruences on regular Γ-Semigroups, Int.J.Math.&Math.Sci 15, 103-106.

R.Chinram and K.Tinpun, (2009), Isomorphism Theorems for Γ-Semigroups and ordered Γ-Semigroups, Thai J.Math.,7(2),231-241, www.math.science.cmu.ac.th/thaijournal.

H.Hedayati, (2013), Isomorphisms via Congruences on Γ-Semigroups and Γ-Ideals, Thai J.Math.11(3), 563-575, http://thaijmath.in.cmu.ac.th.

Tero Harju, (2010), Lecture Notes on Semigroups, Department of Mathematics, University of Turku, Finland.

Claire Cornock, (2011), Restriction Semigroups: Structure, Varieties and Presentations, PhD Thesis, University of York.

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Published

2017-05-31

How to Cite

Shara, J. (2017). On Free ɼ-Semigroups. International Journal For Research In Mathematics And Statistics, 3(5), 15–28. https://doi.org/10.53555/ms.v3i5.229