Minimal prime filters of commutativeBE-algebras

نویسندگان
نژاد احمدچالی محمدرضا ID 1
ایزدی پگاه ID 2
خدادادی مجتبی ID 3

1

2 دانشگاه شهید چمران اهواز

3 دانشگاه تبریز

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
V Venkata Kumar1, Mukkamala Sambasiva Rao2, S Kalesha Vali3, CommutativeBE-algebra, Congruence, Minimal prime filter, Prime filter