Decomposition of AC-algebra trough Partial Orderings
Abstract
In this paper, we recall two partial orderings on a C-algebra. Twotypes of decompositions are derived by using these partial orderings, which are not dual to each other. Two sufficient conditions for a C-algebra to become a Boolean algebra in terms of C-algebras La, Ra are obtained.
References
[1] S. Burris and H. P. Sankappanavar, A course in universal algebra, Springer Verlag, New York, 1981.
[2] F. Guzman and C. Squier, The algebra of conditional logic, Algebra Universalis, 27(1)(1990), 88{110.
[3] G. C. Rao and P. Sundarayya, C-algebra as a poset, Int. J. Math. Sci., 4(2)(2005), 225{236.
[4] G. C. Rao and P. Sundarayya, Decompositions of a C-algebra, Int. J. Math. Math. Sci., Volume 2006, Article ID 78981, Pages 18.
[5] G. C. Rao and P. Sundarayya, Two partial orders on a C-algebra, Int. J. Computational Congnition, 7(3)(2009), 40{43.
[6] U. M. Swamy, G. C. Rao and R. V. G. Ravi kumar, Centre of a C-algebra, Southeast Asian Bull. Math., 27(2)(2003), 357{368.
[2] F. Guzman and C. Squier, The algebra of conditional logic, Algebra Universalis, 27(1)(1990), 88{110.
[3] G. C. Rao and P. Sundarayya, C-algebra as a poset, Int. J. Math. Sci., 4(2)(2005), 225{236.
[4] G. C. Rao and P. Sundarayya, Decompositions of a C-algebra, Int. J. Math. Math. Sci., Volume 2006, Article ID 78981, Pages 18.
[5] G. C. Rao and P. Sundarayya, Two partial orders on a C-algebra, Int. J. Computational Congnition, 7(3)(2009), 40{43.
[6] U. M. Swamy, G. C. Rao and R. V. G. Ravi kumar, Centre of a C-algebra, Southeast Asian Bull. Math., 27(2)(2003), 357{368.
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Published
2016-12-31
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