Some structural compatibilities of pre A*-algebra

A. Satyanarayana; J. Venkateswara; K. Rao Srinivasa Rao

doi:10.5897/AJMCSR.9000119

African Journal of
Mathematics and Computer Science Research

Abbreviation: Afr. J. Math. Comput. Sci. Res.
Language: English
ISSN: 2006-9731
DOI: 10.5897/AJMCSR
Start Year: 2008
Published Articles: 261

Full Length Research Paper

Some structural compatibilities of pre A*-algebra

A. Satyanarayana1*, J. Venkateswara2 and K. Rao Srinivasa Rao3

1Department of Mathematics ANR College, Gudiw ADA Krishna District, Andhra Pradesh, India. 2Mekelle University, Mekelle, Ethiopia. 3Adams Engineering College, Paloncha, Khammam District, Andhra Pradesh, India.
Email: [email protected]

Article Number - C73074E8852
Vol.3(4), pp. 54-59 , April 2010
https://doi.org/10.5897/AJMCSR.9000119

Accepted: 18 February 2009
Published: 30 April 2010

Copyright © 2023 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

A pre A*-algebra is the algebraic form of the 3-valued logic. In this paper, we define a binary operation on pre A*-algebra and show that is a semilattice. We also prove some results on the partial ordering which 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.