On generalized topological molecular lattices
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_SCMA-10-1_001
تاریخ نمایه سازی: 27 مرداد 1397
Abstract:
In this paper, we introduce the concept of the gener-alized topological molecular lattices as a generalization of Wang stopological molecular lattices, topological spaces, fuzzy topologi-cal spaces, L-fuzzy topological spaces and soft topological spaces.Topological molecular lattices were de ned by closed elements, butin this new structure we present the concept of the open elementsand de ne a closed element by the pseudocomplement of an openelement. We have two structures on a completely distributive com-plete lattice, topology and generalized co-topology which are notdual to each other. We study the basic concepts, in particular sep-aration axioms and some relations among them.
Keywords:
Topological molecular lattice , Generalized Topological molecular lattice , Generalized order homomorphism , Separation axiom