On GE-ideals of bordered GE-algebras

نویسندگان

1 دانشگاه آزاد اسلامی

2 دانشگاه علم و صنعت ایران

3 دانشگاه تهران

4 دانشگاه سمنان

doi
10.22034/as.2022.2700
چکیده

In this paper, the properties of GE-ideals of transitive bordered GE-algebra are studied and characterizations of GE-ideals are given. We have observed that the set of all GE-ideals of a transitive bordered GE-algebra forms a complete lattice. The notion of bordered GE-morphism is introduced and established fundamental bordered GE-morphism theorem. A congruence relation on a bordered GE-algebra with respect to GE-ideal is introduced and some bordered GE-morphism theorems are derived.