TY - JOUR ID - 5301 TI - Valuation near rings JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Khodadadpour, E. AU - Roodbarylor, T. AD - Department of Mathematics, Kerman Branch, Islamic Azad University Kerman, Iran AD - Department of Mathematics, Kerman Branch, Islamic Azad University Kerman, Iran Y1 - 2021 PY - 2021 VL - 9 IS - 2 SP - 95 EP - 100 KW - quotient near ring KW - valuation near ring KW - valuationN-group DO - 10.22124/jart.2021.19101.1261 N2 - In this paper, the authors have defined the valuation near ring. They have proved sometheorem, 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 $N$-groupis a valuation near ring. UR - https://jart.guilan.ac.ir/article_5301.html L1 - https://jart.guilan.ac.ir/article_5301_c1b24decc85d3c77cfc31b0105f4c715.pdf ER -