Algebraic Results on Soft Normed Quasilinear Spaces

Year 2024, Volume: 16 Issue: 2, 534 - 540, 31.12.2024

Fatma Bulak , Hacer Bozkurt

https://doi.org/10.47000/tjmcs.1433191

Abstract

As novel notions of soft normed quasilinear spaces, we define soft quasilinear dependence, soft quasilinear independence and soft quasi basis. One of the greatest obstacles to the improvement of soft normed quasilinear spaces is the presence of these properties. In this study, we will present the definitions of these significant concepts and give some illustrative examples. Additionally, we demonstrate that the proposed definitions agree with counterparts of similar results in soft linear spaces. Finally, in some soft normed quasilinear spaces, we have studied their singular and regular dimensions just as in quasilinear spaces.

Keywords

Soft set, Soft quasilinear space, Soft normed quasilinear space, Soft quasilinear dependence-independence, Soft quasi base.

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