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.2022.2700چکیده
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.