On the category of fixed basis frame valued topological groups

Authors:
Jawaher Al-Mufarrij;T. M. G. Ahsanullah
Affiliations:
Department of Mathematics, College of Science, Women Section, King Saud University, Riyadh 11495, Saudi Arabia;Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Venue:
Fuzzy Sets and Systems
Year:
2008

Citing 4
Cited 2

Abstract and concrete categories

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Stratified Hutton uniform spaces

Fuzzy Sets and Systems - Mathematics
Linear fuzzy neighborhood spaces

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On initial and final L-topological groups

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I-fuzzy topological groups

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L, M-fuzzy topological groups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

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Abstract

This article gives results on fixed basis frame valued neighborhood topological groups and stratified neighborhood topological groups, includes some characterization theorems, and presents the uniformizability of stratified neighborhood topological groups within the unified approach of Gutierrez Garcia, DePrada Vicente, and Sostak. It is shown that for a frame L, the category L-NGrp is topological over Grp with respect to the forgetful functor.