Volume 7 Issue 2 - July 2016

  • 1. Interpretationof simple and distributive ideals of l-nearsemilattice

    Authors : Sri Rama Ravi Kumar Emani

    Pages : 313-317

    DOI : http://dx.doi.org/10.21172/1.72.549

    Keywords : Semilattice, modular ideal, simple ideal and distributive ideal

    Abstract :

    This paper initiates the notion of simple elements in l-near semilattice and identifies several characterizations of these elements. In addition, it is detected that an element is a simple if and only if it is both modular and distributive in semilattice. Further, it is noticed that there are various portrayals of distributive and simple ideals of l-near semilattice. Characterization theorem for simple ideal in a l- near semilattice is established and also determined a necessary and sufficient condition for a distributive ideal to be a simple ideal in a l-near semilattice.

    Citing this Journal Article :

    Sri Rama Ravi Kumar Emani, "Interpretationof simple and distributive ideals of l-nearsemilattice", Volume 7 Issue 2 - July 2016, 313-317