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T M G Ahsanullah

Professor

Professor

كلية العلوم
Department of Mathematics, Building 4, Room No. 2B 80
المنشورات
مقال فى مجلة
2021

On the aspects of enriched lattice-valued topological groups and closure of lattice-valued subgroups by T. M. G. Ahsanullah and Fawzi Al-Thukair

, T. M. G. Ahsanullah . 2021

Starting with L as an enriched cl-premonoid, in this paper, we explore some categorical connections between L-valued topological groups and Kent convergence groups, where it is shown that every L-valued topological group determines a well-known Kent convergence group, and conversely, every Kent convergence group induces an L-valued topological groups. Considering an L-valued subgroup of a group, we show that the category of L-valued groups, L-GRP has initial structure. Furthermore, we consider a category L-CLS of L-valued closure spaces, obtaining its relation with L-valued Moore closure, and provide examples in relation to L-valued subgroups that produce Moore collection. Here we look at a category of L-valued closure groups, L-CLGRP proving that it is a topological category. Finally, we obtain a relationship between L-GRP and L-TransTOLGRP, the category of L-transitive tolerance group besides adding some properties of L-valued closures of L-valued subgroups on L-valued topological groups.

نوع عمل المنشور
Original Research Article
رقم المجلد
14
رقم الانشاء
3
مجلة/صحيفة
European Journal of Pure and Applied Mathematics
الصفحات
949 to 968
مزيد من المنشورات
publications

Introducing the notion of probabilistic convergence ring, and probabilistic limit ring, our motivations among others are, to focus at two vital issues, such as, (a) to provide characterization…

بواسطة T. M. G. Ahsanullah and Gunther Jaeger
2024
publications

Starting with an approximation space as the underlying structure, we
look at the rough uniformity of a topological rough group. Next, taking L as a
complete residuated lattice, we…

بواسطة T M G Ahsanullah
2022
تم النشر فى:
Journal of Intelligent and Fuzzy Systems