Boolean Algebras of Pre A*-Algebra

  IJMTT-book-cover
 		 International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2014 by IJMTT Journal
Volume-7 Number-1                          
Year of Publication : 2014
Authors : Vijayabarathi.S , Srinivasa Rao.K
  10.14445/22315373/IJMTT-V7P509

MLA

Vijayabarathi.S , Srinivasa Rao.K. "Boolean Algebras of Pre A*-Algebra", International Journal of Mathematical Trends and Technology (IJMTT). V7:61-67 March 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper, we obtain Boolean algebras , from Pre A*-algebra , and proved that , and are isomorphic to each other.

References

[1] Fernando Guzman and Craig C.Squir: The Algebra of Conditional logic, Algebra Universalis 27(1990), 88-110
[2] Manes E.G: The Equational Theory of Disjoint Alternatives, personal communication to Prof.N.V.Subrahmanyam(1989)
[3] Koteswara Rao.P, A*-Algebra an If-Then-Else structures(Doctoral thesis) 1994, Nagarjuna University, A.P., India
[4] Venkateswara Rao.J., On A*-Algebras(Doctoral Thesis) 2000, Nagarjuna University, A.P., India
[5] Venkateswara Rao.J and Srinivasa Rao.K, Pre A*-Algebra as a Poset, African Journal of Mathematics and Computer Science Research.Vol.2 (4), pp 073-080, May 2009.
[6] Venkateswara Rao.J and Srinivasa Rao.K, Congruence relation on Pre A*-Algebra, Journal of Mathematical Sciences , Vol.4, Issue 4,2009, page 295-312.
[7] Srinivasa Rao.K, and Venkateswara Rao.J , Cayley’s Theorem on Centre of a Pre -Algebra, International Journal of Computational and Applied Mathematics, Vol.5, No.1, 2010 pp 103- 111
[8] Venkateswara Rao.J, Srinivasa Rao.K, D.Kalyani, Decomposition of Pre A*-Algebra, International Journal of Mathematical Sciences and ApplicationsVol. 1 No. 1, January, 2011
[9] Manes E.G: Ada and the Equational Theory of If-Then-Else, Algebra Universalis 30(1993), 373-394.

Keywords
Pre A*-Algebra, Centre of Pre A*-Algebra, Boolean Algebra, Isomorphism, Partial Ordering