Enriched lattice-valued convergence groups

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.