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1)  noetherian graded ring
Noether分次环
1.
In this paper,some properties on graded prime ideals of noetherian graded rings are discussed.
本文讨论了Noether分次环上分次素理想的若干性
2)  Graded right Noetherian ring
分次右Noether环
3)  graded primitive noetherian ring
Noether分次模
4)  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。
5)  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。
6)  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。
补充资料:分次
1.分定等次或位次。 2.指分为几次。 3.星辰运行的度次。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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