On Topological Bci { Algebras Ii
نویسنده
چکیده
As a continuation of [7], we introduce the notions of topological subalgebras, topological ideals and topological homomorphisms in topological BCI-algebras and study some related properties. In the section 3, we investigate the compactness in a TBCI-algebra X and quotient TBCI-algebra X=I where I is a topological ideal of X. In the section 4, we introduce the notion of topological homomorphisms, study some properties for this notion and show that an open topological homomorphism f from TBCI-algebra X to TBCI-algebra Y gives rise to a one-to-one correspondence between the closed c-ideals of Y and the closed c-ideals of X which contains kerf .
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