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: 252

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]

  •  Accepted: 18 February 2009
  •  Published: 30 April 2010

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.

 

Key words: Pre A*- algebra, poset, semilattice, centre, Boolean algebra.