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Semi Maximal Ideals of Be-Algebras

M. Bala Prabhakar *, S. Kalesha Vali **, M. Sambasiva Rao ***

* Department of Mathematics, Aditya Engineering College (A), Surampalem, Kakinada, Andhra Pradesh, India.

** Department of Mathematics, JNTUK University College of Engineering, Vizianagaram, Andhra Pradesh, India.

*** Department of Mathematics, MVGR College of Engineering (A), Chintalavalasa, Vizianagaram, Andhra Pradesh, India.

Periodicity:July - December'2020
DOI : https://doi.org/10.26634/jmat.9.2.17835

Abstract

The concept of radicals of ideals is introduced in BE-algebras and certain properties of these radicals are derived in terms of direct products and homomorphisms. The notion of semi-maximal ideals is introduced in BE-algebras through the radical of ideals and their significant properties are investigated. Some equivalent conditions are derived for every semi-maximal ideal to become a maximal ideal.

Keywords

Transitive BE-Algebra, Self-Distributive BE-Algebra, Ideal, Maximal Ideal, Semi-Simple BE-Algebra, Semi-Maximal Ideal.

How to Cite this Article?

Prabhakar, M. B., Vali, S. K., and Rao, M. S. (2020). Semi Maximal Ideals of Be-Algebras. i-manager's Journal on Mathematics, 9(2), 18-29. https://doi.org/10.26634/jmat.9.2.17835

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