幂级Hermite环(英文)  

On Power-Hermitian Rings

作　　者：张丽婷[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2010年第3期195-199,共5页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：Supportedin part by the Natural Science Foundation of Zhejiang Province(Y6090404);supported in part by the Graduate Innovation Seed Project of Hangzhou Normal University

摘　　要：介绍了Hermite环的一类推广幂级Hermite环,证明了:1)HR是幂级Hermite环当且仅当R是幂级Hermite环;2)R[ D,C]是幂级Hermite环当且仅当D和C都是幂级Hermite环,其中C是D的子环;3)若R[ x,σ]是幂级Hermite环,则R也是幂级Hermite环,反之不然.The paper has introduced the power-Hermitian rings which are generalization of Hermitian rings.The results show that：1） HR is a power-Hermitian ring if and only if R is a power-Hermitian ring;2） R[D,C] is a power-Hermitian ring if and only if D and C are power-Hermitian rings,where C is a subring of D;3） If R[x,σ] is a power-Hermitian ring,so is R,but the converse is not true.

关 键 词：Hurwitz序列 幂级Hermite环 R[ D C] R[x σ] 

分 类 号：O153.3[理学—数学]