Boolean Algebra of C-Algebras

Guddati C. Rao; Perumali Sundarayya

doi:10.5614/itbj.sci.2012.44.3.1

Authors

Guddati C. Rao 1Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
Perumali Sundarayya 2Department of Mathematics, GIT, GITAM University, Visakhapatnam-530 045, India

DOI:

https://doi.org/10.5614/itbj.sci.2012.44.3.1

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).

References

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