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Lattice of Finitely Generated n-ideals Which Forms a Normal Lattice
Journal article   Peer reviewed

Lattice of Finitely Generated n-ideals Which Forms a Normal Lattice

Md. A. K. Azad, Md. Bazlar Rahaman and A. S. A. Noor
Southeast Asian bulletin of mathematics, Vol.35(4), pp.575-581
01/01/2011

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we generalize several results of normal lattice in terms of n ideals. We prove that the lattice of finitely generated n-ideals F-n(L) is normal if and only if each prime n-ideal contains a unique minimal prime n-ideal. It is also shown that F-n(L) is normal if and only if (< x >(n) boolean AND < y >(n))*= (x)(n)* V < y >(n), for all x, y is an element of L.

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