1) Monoid-graded ring
Monoid-分次环
1.
The uni form graded module characterization for a kind of graded special radical determined by element propeoties of e-componant is r epresented in general Monoid-graded ring categories.
将在一般 Monoid-分次环范畴中 ,对由 e-分量元素性质确定的一类分次特殊根给出了统一的分次模刻划 。
2) Monoid graded ring
Monoid分次根
3) partial monoid
偏monoid
4) 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。
5) 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。
6) H-graded ring
H-分次环
1.
Let R be a G-graded ring with local units,if we view H-graded rings R#G/H as-setH/K-graded rings,then we will get the category(H/K,R#G/H)-gr is isomorphic to the category(G/K,R)-gr.
若R是具有局部单位元的G-分次环则可将H-分次环自然地看成H-集H/K-分次环,得到H/K-分次-模范畴(H/K,)-gr与G/K-分次R-模范畴(G/K,R)-gr同构。
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