Abstract
AbstractLet R be a finite ring and let
${\mathrm {zp}}(R)$
denote the nullity degree of R, that is, the probability that the multiplication of two randomly chosen elements of R is zero. We establish the nullity degree of a semisimple ring and find upper and lower bounds for the nullity degree in the general case.
Publisher
Cambridge University Press (CUP)
Reference16 articles.
1. SOME SUPERSOLVABILITY CONDITIONS FOR FINITE GROUPS
2. [4] Buckley, S. M. , MacHale, D. and Ni She, A. , ‘Finite rings with many commuting pairs of elements’, Preprint, 2014. Available online at https://archive.maths.nuim.ie/staff/sbuckley/Papers/bms.pdf.
3. Commuting probability for subrings and quotient rings;Buckley;J. Algebra Comb. Discrete Struct. Appl.,2016
4. The probability that the multiplication of two ring elements is zero
5. What is the Probability that Two Group Elements Commute?
Cited by
4 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