论文标题
有限单位戒指,具有单个单元组的主要序列子组
Finite unitary rings with a single subgroup of prime order of the group of units
论文作者
论文摘要
让R为有限的基数P^K的单一环,其中P是质量数和$ p \ nmid k $。我们表明,如果$ r $的单位最多具有一个子组订单$ p $,则$ r \ cong a \ bigoplus b,其中$ b $是订单$ k $的有限戒指,$ a $ a $是cardinality $ p^β$,这是六种明确描述的类型之一。
Let R be a unitary ring of finite cardinality P^k, where p is a prime number and $p\nmid k$. We show that if the group of units of $R$ has at most one subgroup of order $p$, then $R\cong A\bigoplus B,$ where $B$ is a finite ring of order $k$ and $A$ is a ring of cardinality $p^β$ which is one of the six explicitly described types.