a-Pseudo complementation on ADL’s
Ch. Santhi Sundar Raj, Sujit Rao, K. Ramanuja Rao · Asian-European Journal of Mathematics · 2019
In this paper, we introduce the concept of an [Formula: see text]-pseudo complementation [Formula: see text] on an Almost Distributive Lattice [Formula: see text] for an arbitrary fixed element [Formula: see text] and any [Formula: see text] of [Formula: see text] and discuss several properties of this. Here, we obtain a bijection correspondence between the [Formula: see text]-pseudo complementations on [Formula: see text] and maximal elements of [Formula: see text] We prove that the set [Formula: see text] is a Boolean algebra which is independent(upto isomorphism) of the [Formula: see text]-pseudo complementation [Formula: see text].