1) commutative artinian graded ring

交换Artin分次环
1.
It is proved that for a commutative artinian graded ring,it is in the finite reperesentation type if its graded ideal lattice is distributive.
:证明了交换Artin分次环的一个性质 ,即它具有有限表示型的充要条件是它的分次理想格是分配
2) Artinian graded ring

Artin分次环
3) semisimple artinian ring

分次半单Artin环
4) Artin ring

Artin环
1.
For DQ rC ring we have a semi primal DQ rC ring R,if right ideal satisfies the minimal condition, then it is direct sum of simple Artin rings.
给出了具有极小右理想的单纯DQr C-环必为单 Artin环 ;半质的主右理想具有极小条件的 DQr C-环必为单 Artin环直
2.
A semi-primal-DQ_rC ring r,if right ideal of R such that minimal condition ,Then R isdirect sum of the simple Artin rings.
本文主要给出半质的主右理想具有极小条件的DQ_rC-环必为单Artin环的直和。
5) Artinian ring

Artin环
1.
Some necessary and Sufficient Conditions are given for the ring of a Morita Context to be a n-clean ring,a semi-strongly π-regular(Semiregular,Semi-strongly regular) ring and a Artinian ring.
给出了Morita Contest环是n-clean环,半强π-正则环(半正则环,半强正则环)和Artin环的充分必要条件。
2.
That the characters on projective dimensions and injective dimensions are given for a finitely generated modules over commutative artinian rings with identity and the homological characterizations of artinian rings.
揭示了有幺交换Artin环上有限生成模的投射维数及内射维数的特征,并给出Artin环的同调刻划。
6) semi-artinian ring

半Artin环
补充资料:分保交换
分保交换
t分保交换1见“互惠交换”。
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