Congruences on La-Semirings and Variant of Semigroup

D.Mruduladevi; G.Shobhalatha; T.Padma Praveen

doi:https://doi.org/10.14445/22315373/IJMTT-V40P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 2 | Year 2016 | Article Id. IJMTT-V40P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P520

Congruences on La-Semirings and Variant of Semigroup

D.Mruduladevi, G.Shobhalatha, T.Padma Praveen

Abstract

This paper deals with the properties of some congruence relations on variant of semigroup and LA-Semirings. The motivation to prove theorems in this paper is due to results of J.M.Howie[1] and congruences on regular semigroups[5].

Keywords

LA-semiring ,antiinverse semigroup ,variant of semi group.

References

[1] Howie, J.M “Introduction to semi group theory” academic press. London, 1976.
[2] Hickey, J.B “On variants of semi groups” theory academic press, 1976.
[3] Kazim, M.A and “On almost semi groups” the Alig.Ball. math,Naseeruddin, M.2 (1972), 1-7.
[4] Mitchell, S.S., Fenoglio, P.B.“Congruence – free commutative semirings”, Semigroup forum 37(1998), 79.
[5] Pastijin, F. and Petrich, M. “Congruence on regular semi groups”. Trans. Amer. Math. Soc. 295 (1986), 607-633.

Citation :

D.Mruduladevi, G.Shobhalatha, T.Padma Praveen, "Congruences on La-Semirings and Variant of Semigroup," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 2, pp. 180-182, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P520