GLIVENKO CONGRUENCE ON A 0-DISTRIBUTIVE MEET SEMILATTICE

Authors:

Momtaz Begum,

DOI NO:

https://doi.org/10.26782/jmcms.2015.01.00007

Keywords:

Glivenko congruence,0-distributive semilattice ,distributive meetsemilattice,

Abstract

In This paper the author studiesthe Glivenko congruence R in a0-distributive meet semilattice. It isprovedthata meet semilattice S with 0 is0-distributive if and only if the quotient semilattice RS is distributive. Hence S is0-distributive if and only if (0] is the Kernel of some homomorphism ofS onto adistributive meet semilattice with 0.

Refference:

I.P. Balasubramani and P. V. Venkatanarasimhan,Characterizations of the 0-Distributive Lattices,Indian J. Pure appl.Math. 32(3) 315-324, (2001).

II.Momtaz Begum and A.S.A. Noor,Semi prime ideals in meet semilattices,Indian J. Pure appl.Math.Vol.1, No.2, 2012, 149-157.

III.H.S.Chakraborty and M.R.Talukder,Some characterizations of 0-distributivesemilattices,Accepted in the Bulletin of Malaysian Math. Sci.Soc.

IV.Azmal Hossain, Title: A study on meet semilattices directed above, Ph.D.Thesis, RU (2004).

V.Y. S. Powar and N. K. Thakare,0-Distributivesemilattices, Canad. Math. Bull.Vol. 21(4) (1978), 469-475.

VI.Rhodes, J.B. Modular and distributive semilattices. Trans. Amer. Math. Society.Vol.201(1975), P.31-41.

VII.J. C. Varlet,A generalization of the notion of pseudo-complementedness,Bull.Soc.Sci.Liege, 37(1968), 149-158.

Author(s) : Momtaz Begum View Download