Boolean Algebra of C-Algebras

Guddati C. Rao, Perumali Sundarayya

Abstract


A C- algebra is the algebraic form of the 3-valued conditional logic, which was introduced by F. Guzman and C.C. Squier in 1990. In this paper, some equivalent conditions for a C- algebra to become a boolean algebra in terms of congruences are given. It is proved that the set of all central elements B(A) is isomorphic to the Boolean algebra S(A) B of all C-algebras Sa, where a  B(A). It is also proved that B(A) is isomorphic to the Boolean algebra R(A) B of all C-algebras Aa, where a B(A).

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References


Guzman, F. & Squier, C., The Algebra of Conditional Logic, Algebra Universalis, 27, pp. 88-110, 1990.

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DOI: http://dx.doi.org/10.5614%2Fitbj.sci.2012.44.3.1

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