Enriched lattice-valued convergence groups

Authors:
T. M. G. Ahsanullah;David Gauld;Jawaher Al-Mufarrij;Fawzi Al-Thukair
Affiliations:
Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia;Department of Mathematics, Auckland University, New Zealand;Department of Mathematics, Women Section, King Saud University, Riyadh 11495, Saudi Arabia;Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
Venue:
Fuzzy Sets and Systems
Year:
2014

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Abstract

Considering a category SL-GConv, of stratified enriched cl-premonoid-valued generalized convergence spaces, we present the category SL-GConvGrp, of stratified L-generalized convergence groups, and some of its subcategories. We present two natural examples on stratified enriched cl-premonoid-valued convergence groups. Among other results, we show that every stratified strong L-limit group is SL-UCS-uniformizable.