Prime ideals of transitive BE-algebras
M. Bala Prabhakar, M.S. Rao, Shaik Kalesha Vali · Discussiones Mathematicae - General Algebra and Applications · 2022
The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras. The concept of minimal prime ideals is introduced in transitive BE-algebras. A decomposition theorem of proper ideals into minimal prime ideals is derived.