%0 Journal Article
%T Characterization of Distributive and Standard Ideals in Semilattices
%A ES Rama Ravi Kumar
%A J Venkateswara Rao
%A V Srinivas kumar
%J Momona Ethiopian Journal of Science
%D 2011
%I Mekelle University
%X This paper investigates the concepts of distributive ideal, dually distributive ideal and standard ideal in a join semilattice. It concerns with the property of ideals in a distributive semilattice. We obtain a characterization theorem for distributive (dually distributive) and standard ideal in a join semilattice. We establish the necessary and sufficient condition for a distributive ideal to be standard ideal. Finally, we bear out the fundamental theorem of homomorphism and Isomorphism theorem of standard ideal.
%U http://www.ajol.info/index.php/mejs/article/view/63682