Document Type : Research Paper

Authors

• Ehab A. Hussein ¹
• Sinan O. Alsalihi ²

¹ Mathematics Department, College of Education for Women, Tikrit University, Tikrit, Iraq

² Mathematics Department, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq

Abstract

In this paper, we considered investigating some properties of zero near rings and novel results in this regard are obtained. In addition, we defined a zero divisor near ring and studied its relation to the zero near ring. In particular, we investigated some conditions on characteristics of elements of a near ring under which it becomes a zero near ring.

Keywords

• Near Rings
• Zero Near Rings
• Near Fields
• Zero Divisors
• Zero Divisor Near Rings
• Idempotent Near Rings
• Nilpotent Near Rings
• Nil Near Rings