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- Title
GE-Morphisms of GE-Algebras.
- Authors
Shaik, Manzoor Kaleem; Bandaru, Ravikumar; Young Bae Jun
- Abstract
In this paper, the notion of GE-morphism is introduced, and established fundamental GE-morphism theorem. We investigated some isomorphism theorems in GE-algebras. We derived that the image of a GE-filter of a given GE-algebra X under GE-epimorphism f: X ! Y is also a GE-filter of a GE-algebra Y. We established the one-to-one correspondence between the GE-filters of a GE-algebra X containing ker(f) and GE-filters of Y whenever f: X ! Y is GE-epimorphism. We introduced the concept of extended GE-morphism(eGE-morphism) in (weak) eGE-algebras and investigated its properties. We provided conditions for the image of superset FX of EX is an eGE-filter of f(X) whenever f: (X, X,EX) ! (Y, Y,EY) is a GE-morphism.
- Publication
Southeast Asian Bulletin of Mathematics, 2021, Vol 45, Issue 6, p931
- ISSN
0129-2021
- Publication type
Academic Journal