1) graded PS-ring
分次PS-环
1.
We prove that S is a graded right V-ring if and only if R is a graded right V-ring,S is graded PS-ring if and only if R is a graded PS-ring,and S is a Von Neumann regular ring if and only if R is a graded Von Neumann regular ring.
本文引进了分次环的分次Excellent扩张概念,设S=⊕_(g∈G)S_g是R=⊕_(g∈G)R_g的分次Excellent扩张,证明了S是分次右V-环当且仅当R是分次右V-环,S是分次PS-环当且仅当R是分次PS-环,S是分次Von Neumann正则环当且仅当R是分次Von Neumann正则环。
2) graded PS-module
分次PS-模
3) PS ring
PS环
1.
It was shown that if R is a reduced right the PS ring G is an ordered group and σ is weakly rigid,then the Malcev-Neumann ring R*((G)) is a right PS-ring.
证明了若R是约化的右PS环,G是有序群,σ是弱刚性的,则Malcev-Neumann环R*((G))是右PS环。
2.
This paper gives some results on Strong-Armendariz rings and the Ore-extensions R[x,x~(-1);α] of Bare,PP and PS rings.
在此文中,我们对Strong-Armendariz环和Baer PP及PS环Ore-扩张R[x,x~(-1)；α]的一些性质进行了讨论研究,并得到了一些结果。
4) PS-ring
PS-环
1.
It is also show that being a PS-ring pass over to formal triangular matrix rings.
同时,给出了 R 是 PS-环的条件。
2.
Abstract In this paper, we investigate the difference between PS-ring and nonsingular ring, and obtain a formula of the homological dimensions.
本文刻划了PS-环与非奇异环的差距,给出了一个计算同调维数的公式。
5) PS rings
PS环
1.
At the same time,the relations among right YJS rings,right PS rings and right DS rings are obtained,and the equality conditions among them are given.
利用非奇异模、极小内射模 ,给出 PS环的一些刻画 ,同时刻画了半单环 ,指出右 YJS环、右 DS环与右 PS环之间的关系及它们等价的条
6) graded ring
分次环
1.
It introduces a new conception—augmented(G,H)-graded rings,give two characterizatons for augmented(G,H)-graded rings in special cases.
将扩大G-分次环的概念加以推广,定义了一种新的分次环——扩大(G,H)-分次环,给出其两个等价刻划,并在R(G,H)-A g r中引入N oetherian模的概念,讨论了R(G,H)-A g r与(Re,H)-g r范畴间N oetherian模的一些性质与关系。
2.
The BrownMcCoy radicals of the graded rings are studied.
研究了分次环的Brown-McCoy根,用新的方法证明并推广了文献[1]中的主要结果,证明在比自由群更广泛的群类上分次环的Brown-McCoy根是分次的。
3.
In this note ,we characterize the graded Bear radical,graded koethe radical,graded Levitizki radical and graded Brown-McCoy radical in the category of associative monoid-graded rings (not necessarily with 1) and grade-preserving ring homomorphisms,with element properties.
在一般Monoid—分次环 (未必有 1)范畴中 ,给出了分次Bear根 ,分次Koethe根 ,分次Levitizki根和分次Brown -McCoy -根的元素特性 ,并分别给出了对应于这几个根的分次半单环的结构定理 ,指出了分次环A = x∈MAx 的分次根和结合环Ae 的根之间的密切关系。
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。
参考词条