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T M G Ahsanullah

Professor

Professor

كلية العلوم
Department of Mathematics, Building 4, Room No. 2B 80
publication
Journal Article
2020

On the continuous action of enriched lattice-valued convergence groups: Some examples by T. M. G. Ahsanullah, Fawzi Al-Thukair and Jawaher Al-Mufarrij

Ahsanullah, T. M. G. . 2020

Abstract: Starting with a category SLCONVGRP, of stratified enriched cl-premonoid-valued convergence groups as introduced earlier, we present a category SLCONVTGRP, of stratified enriched cl-premonoid-valued convergence transformation groups, the idea behind this category is crept in the notion of convergence transformation group - a generalization of topological transformation group. In this respect, we are able to provide natural examples in support to our endeavor; these examples, however, stem from the action of convergence approach groups on convergence approach spaces, and the action of probabilistic convergence groups under triangular norm on probabilistic convergence spaces. Based on the category of enriched lattice-valued convergence spaces, a Cartesian closed category that enjoys lattice-valued convergence structure on function space, we look into among others, the lattice-valued convergence structures on the group of homeomorphisms of enriched lattice-valued convergence spaces, generalizing a concept of convergence transformation groups on convergence spaces, obtaining a characterization.

Publication Work Type
Original Research Article
Volume Number
34
Issue Number
9
Magazine \ Newspaper
Filomat
Pages
3045 to 3064
more of publication
publications
by T. M. G. Ahsanullah and Fawzi Al-Thukair
2025
publications

In this paper, we present several characterizations on approach groups, and ultra-approach groups. In doing so, we first give necessary and sufficient conditions for an approach structure to be…

by T. M. G. Ahsanullah , Fawzi Al-Thukair
2024
Published in:
European Journal of Pure and Applied Mathematics
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…

by T. M. G. Ahsanullah and Gunther Jaeger
2024