摘要
设R是一个整环 ,F是R[x]的商域 ,则R[x ,x- 1 ]是F的子环 .本文证明 :若R是域 ,则R[x,x- 1 ]是欧氏环 .若R是一个唯一分解环 ,则R[x ,x- 1 ]是唯一分解环 .
Let R is a domain, F is the quotient field of R[x], then R[x,x ~ -1 ] is a subring of F. The paper prove:If R is a field,then R[x,x ~ -1 ] is an Euclidean ring. If R is an unique factorization ring,then so is R[x,x ~ -1 ].
出处
《首都师范大学学报（自然科学版）》
2002年第4期13-16,共4页
Journal of Capital Normal University：Natural Science Edition
