Valuation near rings

Document Type : Research Paper

Authors

Department of Mathematics, Kerman Branch, Islamic Azad University Kerman, Iran

10.22124/jart.2021.19101.1261

Abstract

In this paper, the authors have defined the valuation near ring. They have proved some
theorem, for example, they have shown every valuation near ring is a local near ring and the ideals of N are totally ordered by inclusion. Also,
the symbol valuation $N$-group in near rings has been introduced. Finally, every valuation $N$-group
is a valuation near ring.

Keywords