1) w-Noetherian ring
w-Noether环
1.
And we give a similarKrull-Akizuki theorem: If R is a reduced ring, then R is a w-Noetherian ringwith w-dim(R) 1 if and only if each w-linked overring T is a w-Noetherian ringwith w-dim(T) 1.
作为w-linked理论的应用,我们给出了Mori-Nagata定理的一个推广:若R是约化的w-Noether环,则R的w-整闭包(等于完全整闭包)是Krull环。
2.
Firstly, we provethat if R is a w-Noetherian ring, dual modules of finite type modules are finitelypresented type, and discuss the primary decomposition of w-submodules of w-Noetherian modules.
我们证明了w-Noether环上有限型模的对偶模是有限表现型的。
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) noetherian、v-ring
Noether、V-环
6) conoetherian ring
余Noether环
补充资料：Noether空间
Noether空间
Noetfaerian space
N‘绷心空间(N伙山曰‘l娜，Ce;班TeP000n钟e冲明e.o] 一个拓扑空间(toPOlo乡司spa此)X，其中闭子空间的任何严格下降的链都会中断.一个等价条件是:X的闭子集的任何非空族都有关于包含关系为序的极小元.N吮廿坦r空间的每个子空间本身也是NoeUrr空间.如果空间X有一个Noc吐ler子空间的有限覆盖，则X也是NoeUzer的.空间X是N吮让记r的当且仅当X的每个开子集都是拟紧的.N讼川比r空间X是有限多个不可约分支的并. N沃劝巴空间的例子是交换环的谱(见环的谱(spe-沈田m of an刀g)).对于一个环A，空间Sp戈(A)(A的谱)是Nb洲比r的当且仅当A/J是N血劝.环(N叱t比~血g)，这里J是A的幕零理想.
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