Lattice-Valued Convergence Ring and Its Uniform Convergence Structure

DOI10.2989/16073601003718248zbMath1274.54020OpenAlexW2086293844MaRDI QIDQ2862691

T. M. G. Ahsanullah

Publication date: 19 November 2013

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073601003718248

zbMATH Keywords

categoryframe\(L\)-topology\(L\)-neighborhood topological system\(L\)-uniform convergence structure\(L\)-uniform groupstratified \(L\)-Cauchy ringstratified \(L\)-convergence ringstratified \(L\)-neighborhood topological ring

Mathematics Subject Classification ID

Fuzzy topology (54A40) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Topological and ordered rings and modules (16W80)

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Stratified \(LMN\)-convergence tower groups and their stratified \(LMN\)-uniform convergence tower structures ⋮ CHANGE OF BASIS FOR LATTICE-VALUED CONVERGENCE GROUPS ⋮ Stratified lattice-valued neighborhood tower group ⋮ Complete Heyting algebra-valued convergence semigroups ⋮ STRATIFIED LATTICE-VALUED BALANCED NEIGHBORHOOD TOPOLOGICAL GROUPS ⋮ Enriched lattice-valued convergence groups

Cites Work

• Subcategories of lattice-valued convergence spaces
• Lattice-valued convergence spaces and regularity
• On the category of fixed basis frame valued topological groups
• Pretopological and topological lattice-valued convergence spaces
• A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces
• Uniform semigroups
• Lattice-Valued Cauchy Spaces and Completion
• StratifiedL-uniform convergence spaces
• Frame valued stratified generalized convergence groups
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• Topological Rings