On pseudo BE-algebras
R. Ameri, Arsham Borumand Saeid, R. A. Borzooei, Akefe Radfar, Akbar Rezaei · Discussiones Mathematicae - General Algebra and Applications · 2013
In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and preimage of a pseudo filter is also a pseudo filter. Furthermore, the notion