Some Types of Ideals in QI-Algebras

Author:

Bandaru Ravikumar1ORCID

Affiliation:

1. GITAM University (Deemed), Hyderabad, India

Abstract

In this chapter, ideals of QI-algebra are considered. Given a subset of a right distributive QI-algebra, the smallest ideal containing it is constructed. Also, the notions of implicative ideal, fantastic ideal, and normal ideal in a right distributive QI-algebra are introduced, and the authors proved that these notions are equivalent.

Publisher

IGI Global

Reference9 articles.

1. Abbott, J. C. (1967). Semi-bolean algebra. Matem. Vestnik, 4, 177-198. http://eudml.org/doc/258960

2. On QI-algebras

3. Implication Algebras and the Metropolis - Rota Axioms for Cubic Lattices

4. On axiom systems of propositional calculi, XIV

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