An element prime to and primary to another element in lattice modules
C. S. Manjarekar, A. V. Bingi · International Journal of Algebra · 2014
In this paper, we introduce the concepts of \An element prime to and primary to another element in lattice modules.Using these concepts,we generalize some results proved by C.S.Manjarekar and N.S.Chavan[4]. Some characterizations of an element prime to and primary to another element in lattice modules are obtained.It is shown that if a family of elements is primary to an element A then their supremum is also primary to A and if^ B is primary to an element A then each B is primary to A.Finally,the characterization of an element non-primary to another element is obtained.