摘要
证明了具有ｎ（＞２）个左（右）零因子的环Ｒ，当｜Ｒ｜＝ｎ２２时，必有ｎ＝２ｓ＋１（ｓ∈Ｎ），｜Ｒ｜＝２２ｓ＋１，且Ｒ的特征是２，４或８．又当Ｒ是特征为２的可换环时，Ｒ只能是有４个零因子的８元环．
This parer proved that for the ring R with n left(right) zero divisors, if |R|=n 22 ,then n=2 s+1 (n∈N),|R|=2 2s+1 and the character of R could only be 2,4 or 8;and if R is the commutative ring whose character is 2, then R could only be the 8 element ring with 4 zero divisors.
出处
《天津师范大学学报（自然科学版）》
CAS
1999年第1期11-15,共5页
Journal of Tianjin Normal University：Natural Science Edition
关键词
左(右)零因子
左(右)正则元
非零因子环
幂零根
left(right) zero divisor\ left(right) regulor element\ nonzero divisor ring\ nilpotent root
