Change of basis for lattice-valued convergence groups, New Math. and Natural Computation

Using the idea of changing the basis-lattice, we investigate in this article the impact of change-of-basis to the notion of stratified lattice-valued generalized convergence group by employing so-called functorial mechanism. We discuss here some of the subcategories of the category of stratified lattice-valued generalized convergence groups, such as, stratified lattice-valued Kent convergence groups, stratified lattice-valued limit groups, and look into the possible link between these objects with stratified lattice-valued neighborhood groups and stratified lattice-valued neighborhood topological groups, when bases are changed. Moreover, with the help of the notion of stratified lattice-valued filter attributed to U. Hohle and A. P. Sostak, we introduce a category HS-S$L$-FilGrp, of stratified lattice-valued filter groups, and study its relationship with other categories so far achieved in this pape