Boolean Algebra of C-Algebras | Zendy

G. C. Rao | Zendy; P. Sundarayya | Zendy

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Boolean Algebra of C-Algebras

Author(s) -

G. C. Rao,

P. Sundarayya

Publication year - 2012

Publication title -

itb journal of sciences

Language(s) - English

Resource type - Journals

ISSN - 1978-3043

DOI - 10.5614/itbj.sci.2012.44.3.1

Subject(s) - boolean algebra , complete boolean algebra , stone's representation theorem for boolean algebras , free boolean algebra , two element boolean algebra , boolean algebras canonically defined , mathematics , algebra over a field , interior algebra , congruence relation , set (abstract data type) , algebra representation , cellular algebra , discrete mathematics , combinatorics , pure mathematics , computer science , programming language

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 of all C-algebras Sa, where a B(A). It is also proved that B(A) is isomorphic to the Boolean algebra of all C-algebras Aa, where a B(A)

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