1) Noether N-semisimple ring
Noether N-半单环
1.
N-semisimple rings,Noether N-semisimple rings and some special rings;
N-半单环、Noether N-半单环和几类特殊环
2) noetherian ring
Noether环
1.
Properties of Noetherian ring;
Noether环理想的性质
2.
The quasi-finitistic dimension condition over noetherian ring was introduced and its some applications were given.
给出了维数有限性条件的一个推广,引入了准维数有限性条件并给出了Noether环上准维数有限条件的一些应用。
3.
In this paper, the concept of symbolic power of primary idea isproposed, and we give the following result:Let R be Noetherian ring with identity, Q (≠R) is a P- primary ideal of R,S = R\P, then (n) = (O)s, where the intersection is taken over all symbolic Power of primary ideal Q.
本文提出了Noether环中准素理想的符号幂的概念，同时建立了如下定理：设R是一个有单位元的Noether环，Q是R的一个异于R的P-准素理想，S=R／P，则Q的一切符号幂的交为（O）s。
3) Noether ring
Noether环
1.
In this paper,some new characterizations of N-semisimple rings are given,it is proved that a Noether N-semisimple ring is a semisimple ring,and Noether rings,semisimple rings,QF-rings are discribed by N-projective modules and N-injective modules.
给出了N-半单环的新特征,证明了Noether N-半单环是半单环,利用N-投射模和N-内射模刻画了Noether环、半单环和QF-环。
4) Noether-ring
Noether-环
1.
The object of this paper is to prove theoreml: Commutative ring R is DI - ring if and only if R is Hereditary - ring and Noether-ring.
若环R可换,则R是DI-环(?)是Hereditary-环和 Noether-环;2。
5) Right Noetherian semigroup ring
右Noether半群环
6) Noetherian semilocal ring
Noether半局部环
补充资料：半单环
半单环
semi-ample ring
半单环[脚‘一滋田户d硬弓;助Jl”lpoc功“““城。1 根为零的环R.更确切地说，如果r是某种根(见环与代数的根(正山司ofnn乡anda」9 ebn玲))，环R称为;半单的(卜~一s如p卜)，是指r(R)“O通常人们将结合半单环理解为经共牛早环、。。~。一仁，漏司户6n。、.月.A.cxOP朋K邹撰冯绪宁译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条