Elements Weakly Prime and Weakly Primary to Another Element
C. S. Manjarekar
Department of Mathematics, Shivaji University, Kolhapur-416005, India.
A. N. Chavan *
Department of Engineering Sciences(Maths), STE's, Sinhgad Institute of Technology, Lonavala, Pune-410401, India.
*Author to whom correspondence should be addressed.
Abstract
Let L be a compactly generated multiplicative lattice with 1 compact in which every finite product of compact elements is compact and M be a module over L. In this paper we generalize the concepts of an element prime to another element and an element primary to another element in a lattice module M and obtain the characterizations of an element prime to another element and an element primary to another element in a lattice module.
Keywords: Prime element, primary element, Lattice modules