Some structural compatibilities of pre A*-algebra

African Journal of Mathematics and Computer Science Research

A. Satyanarayana¹ 

关键词: Pre A*- algebra;    poset;    semilattice;    centre;    Boolean algebra.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

A pre A*-algebra is the algebraic form of the 3-valued logic. In this paper, we define a binary operationon pre A*-algebra and show thatis a semilattice. We also prove some results on the partial orderingwhich is induced from the semilattice. We derive necessary and sufficient conditions for pre A*-algebra (A,Ù,Ú, (-)~) to become a Boolean algebra in terms of this partial ordering and binary operation and also find the necessary conditions for (A ,) as a lattice.

【 授权许可】

CC BY