Weak pseudo-complementations on ADL’s

R. Vasu Babu, Ch. Santhi Sundar Raj, and B. Venkateswarlu

Department of Mathematics, Shri Vishnu Engineering college for Women, Bhimavaram - 534201, W.G.Dist., A.P., India
Department of Engineering Mathematics, Andhra University, Visakhapatnam - 530 003, A.P., India
Corresponding author: B. Venkateswarlu, Department of Mathematics, GIT, GITAM University, Visakhapatnam - 530 045, A.P., India


Abstract: The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.

AMSclassification: primary 06D99.

Keywords: almost distributive lattice, Boolean algebra, Boolean ring, pseudo-complementation, weak pseudo-complementation.

DOI: 10.5817/AM2014-3-151