Enriched lattice-valued convergence groups by T. M. G. Ahsanullah, David Gauld, Jawaher Al-Mufarrij and Fawzi Al-Thukair
Ahsanullah, T. M. G. . 2014
Considering a category SL-GConv, of stratified enriched cl-premonoid-valued generalized convergence spaces, we present thecategory SL-GConvGrp, of stratified L-generalized convergence groups, and some of its subcategories. We present two natural examples on stratified enrichedcl-premonoid-valued convergence groups. Among other results, we show that every stratified strong L-limit group is SL-UCS-uniformizable.
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…
Starting with the category of probabilistic approach groups, we show that the category of approach groups can be embedded into the category of probabilistic approach groups as a bicoreflective…
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…