Join distributive of super modular pair elements in super modular semi lattice
Sri Rama Ravi Kumar. Emani · IOSR Journal of Mathematics · 2014
This study concerns with the concepts of join distributive, distributive elements of join semi lattice, modular and super modular semi lattice.We define a join distributive element in super modular semi lattice and obtained every join distributive element of super modular semi lattice is distributive.Also it is proved that every directed below modular semi lattice is a super modular semi lattice.It is defined a super modular pair elements in join semi lattice and proved that, in a super modular semi lattice S, if an element a is join distributive, the pair of elements (a, b) is super modular pair elements of S for b ∈ S. I.