On GE-ideals of bordered GE-algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, St. Joseph's Degree College, Kurnool-518004, Andhra Pradesh, India.

2 Department of Mathematics, GITAM (Deemed to be University), Hyderabad Campus, Telangana-502329, India.

3 Department of Mathematics, MVGR College of Engineering, Chintalavalasa, Vizianagaram Andhra Pradesh, 535 005, India.

4 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.

Abstract

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.

Keywords

References

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Algebraic Structures and Their Applications
Volume 10, Issue 1
February 2023
Pages 17-38

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