Soft pseudo-topological (Tallini) hypervector spaces

Subject Areas : Topological vector spaces

F. Farzanfar ^{1 *}

1 - Department of Computer Engineering and Information Technology‎, ‎Payame Noor University‎, ‎P.O‎. ‎Box 19395-3697 Tehran‎, ‎Iran

Received: 2025-01-30 Accepted : 2025-03-19 Published : 2025-03-20

Keywords: Soft set, soft hypervector space, pseudo-topological hypervector space, soft pseudo-topological hypervector space,

Abstract :

‎In this paper‎, ‎we study the pseudo-topological (Tallini) hypervector spaces over the topological field and introduce the notions of soft hypervector spaces‎, ‎soft pseudo-topological hypervector spaces‎, ‎and soft pseudo-topological subhyperspaces‎. ‎Also‎, ‎we show that the product of two soft pseudo-topological hypervector spaces is a soft pseudo-topological hypervector space‎.

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