Affiliation:
1. Department of Mathematics, Faculty of Sciences, University of Zanjan, P. O. Box 45371-38791, Zanjan, Iran
Abstract
Let [Formula: see text] be a finite commutative ring with nonzero identity. The nullity degree of [Formula: see text], denoted by [Formula: see text], is the probability that the multiplication of two randomly chosen elements of [Formula: see text] is zero. In this paper, we characterize all rings [Formula: see text] with [Formula: see text]. Also, we study rings [Formula: see text] with [Formula: see text], where [Formula: see text] is a prime number.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献