Minimal prime filters of commutative $BE$-algebras

نویسندگان
Venkata Kumar, V ID 1
Sambasiva Rao, Mukkamala ID 2
Kalesha Vali, S ID 3

1 Department of mathematics, Aditya Engineering College, Surampalem Andhra Pradesh, India.

2 Department of mathematics, MVGR College of Engineering, Vizianagaram Andhra Pradesh, India.

3 Department of mathematics, JNTUK University College of Engineering, Vizianagaram Andhra Pradesh, India.

doi
10.22034/as.2022.2840
چکیده

In this paper we introduced the concept of minimal prime filters in commutative $BE$-algebras. A characterization theorem for minimal prime filters of $BE$-algebras is derived. Some properties of minimal prime filters of a commutative $BE$-algebras are derived with the help of congruences. A necessary and sufficient is derived for a pair of minimal prime filters to become co-maximal.

کلیدواژه‌ها
Commutative $BE$-algebra, Congruence, Minimal prime filter, Prime filter