Maximal Ideals of Transitive BE-Algebras

M. Bala Prabhakar; S. Kalesha Vali; M. Sambasiva Rao

Maximal Ideals of Transitive BE-Algebras

Authors

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

Keywords:

Transitive BE-algebra, ideal, maximal ideal, semi-simple BE-algebra.

Abstract

notion of maximal ideals is introduced in transitive BE-algebras. Some equivalent conditions are derived for a proper ideal of BE-algebra to become a maximal ideal. The concept of semi-simple BE-algebras is introduced and its properties are studied in terms of maximal ideals of BE-algebras.

Key words and phrases. Transitive BE-algebra, ideal, maximal ideal, semi-simple BE-algebra.

2010 Mathematics Subject Classification. 03G25

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Published

2025-05-18

How to Cite

M. Bala Prabhakar, S. Kalesha Vali, & M. Sambasiva Rao. (2025). Maximal Ideals of Transitive BE-Algebras. Jordan Journal of Mathematics and Statistics, 15(1), 1–14. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/760