Soft pseudo-topological (Tallini) hypervector spaces

محورهای موضوعی : Topological vector spaces

F. Farzanfar ¹

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

تاریخ دریافت : 1403/11/11 تاریخ پذیرش : 1403/12/29 تاریخ انتشار : 1403/12/30

کلید واژه: Soft set, soft hypervector space, pseudo-topological hypervector space, soft pseudo-topological hypervector space,

چکیده مقاله :

‎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.

چکیده انگلیسی:

‎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.