On Near-Rings with Soft Union Ideals and Applications

Aslihan Sezgin, Akin Osman Atagün (), Naim Çağman () and Hüseyin Demir ()
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Aslihan Sezgin: Department of Mathematics and Science Education, Amasya University, 05100 Amasya, Turkey
Akin Osman Atagün: Department of Mathematics, Ahi Evran University, 40100 Kırşehir, Turkey
Naim Çağman: Department of Mathematics, Gaziosmanpaşa University, 60100 Tokat, Turkey
Hüseyin Demir: Department of Mathematics and Science Education, Amasya University, 05100 Amasya, Turkey

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 495-511

Abstract: In this paper, we define soft union near-ring on a soft set by using soft sets, inclusion relation and union of sets. This new notion functions as a bridge among soft set theory, set theory and near-ring theory. We then derive its basic properties and investigate the relationship between soft intersection near-ring and soft union near-ring. Furthermore, we obtain some analog of classical near-ring theoretic concepts for soft union near-ring and give the applications of soft union near-ring to near-ring theory.

Keywords: Soft sets; soft uni near-ring; soft uni subnear-ring; soft uni-ideal; α-inclusion (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500247

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