On the matrix ring over a finite field期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On the matrix ring over a finite field

Authors:	Kwangil Koh

Institution:	Department of Mathematics North Carolina State University Raleigh, North Carolina 27695-8205 USA

Abstract:	Let F_n be the ring of n × n matrices over the finite field F; let o(F_n) be the number of elements in F_n, and s(F_n) be the number of singular matrices in F_n. We prove that $o(F_{n})<s(F_{n})^{1+1n(n-1)}$ if n ? 2, and if n = 2 and o(F) ? 3, then $s(F_{n})^{1 + 1n^{2}} <o(F_{n})<s(F_{n})^{1+1n(n-1)}$ .

Keywords:
本文献已被 ScienceDirect 等数据库收录！