Approximately Near Rings in Proximal Relator Spaces

Abstract

The motivation of this article is to define approximately near rings, some types of approximately near rings, approximately $N$-groups, approximately ideals, and approximately near rings of all descriptive approximately cosets. Moreover, some properties of these approximately algebraic structures are given. Furthermore, approximately near-ring homomorphisms are introduced and their some properties are investigated.

Keywords

• Approximately ring
• Descriptive approximation
• Proximity space
• Relator space

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