论文标题
有限的统一环除了戒指本身以外,所有子弹的单位组都可以解决
Finite unitary rings all of whose groups of units of all their subrings except of the ring itself are solvable
论文作者
论文摘要
让r为有限的统一环,其单位群无法解决,但其所有适当子弹的所有单元组都是可以解决的。在本文中,我们对这些戒指进行了分类,并表明$ n <5 $的所有有限环$ p^n $和某些订单$ p^6 $都在此类环中。
Let R be a finite unitary ring whose group of units is not solvable but all groups of units of all its proper subrings are solvable. In this paper we classify these rings and show that all finite rings of order $p^n$ for $n < 5$ and some of order $p^6$ are in this class of rings.