Manzoor Kaleem Shaik - Department of Mathematics, St. Joseph&#۰۳۹;s Degree College, Kurnool-۵۱۸۰۰۴, Andhra Pradesh, India.
Ravikumar Bandaru - Department of Mathematics, GITAM (Deemed to be University), Hyderabad Campus, Telangana-۵۰۲۳۲۹, India.
Mukkamala Sambasiva Rao - Department of Mathematics, MVGR College of Engineering, Chintalavalasa, Vizianagaram Andhra Pradesh, ۵۳۵ ۰۰۵, India.
Young Bae Jun - Department of Mathematics Education, Gyeongsang National University, Jinju ۵۲۸۲۸, Korea.

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.

Bordered GE-algebra, GE-ideal, Bordered GE-morphism, Dual kernel