1) V.N. regular ring
V.N.正则环
2) strongly regular ring
强正则环
1.
Several new characteristic properties of strongly regular rings are also given.
本文研究满足条件:每个单奇异右(或左)R-模是GP-内射的SF-环,并给出了强正则环的一些刻划。
2.
We characterize strongly regular rings via generalized weakly ideals.
通过单边理想是广义弱理想来刻画强正则环,证明了下列条件是等价的:①R是强正则环;②R是半素的左GP-V′-环,且每一个极大的左理想是广义弱理想;③R是半素的左GP-V′-环,且每一个极大的右理想是广义弱理想。
3.
The paper has researched module comparability theories about regular rings,including the module of regular rings and characterizations about modules over strongly regular rings.
主要对正则环的相关理论进行了研究,包括正则环理想上的模比较,并进一步研究了强正则环的模刻画。
3) C R regular ring
CR-正则环
4) regular ring
正则环
1.
Some properties on group-graded weakly regular rings;
群分次弱正则环的若干性质
2.
We show some relations of morphic ring,G-morphic ring,PP-ring,GPP-ring,Bear ring and regular ring.
讨论了morphic环,G-morphic环,PP环,GPP环,Bear环与正则环之间的关系。
5) Cregular ring
C-正则环
6) strongly regular rings
强正则环
1.
We also study the relationship among the Strongly regular rings,Strongly π-regular rings and Strongly Quasi-Clean rings.
本文定义强拟-C lean环,使用通常环论方法证明强拟-C lean环的同态象、直积、对角矩阵仍是强拟-C lean环,讨论强正则环、强π-正则环与强拟-C lean环之间的关系。
补充资料：正则环
正则环
*-regular ring
‘正则环卜一佣.山r对l招;一pe口朋钾Oe劝则。J 带有对合反自同构俐~“*的正则环(仰Nh助-姗愈义下的)(比州肚nllg(谊the别级侣e ofvon卜犯u-~”，使得戊扩=0蕴涵“二0二正则环的幂等元。称为一个投影算子(p咧戊tor)，若。*二。.，正则环的每个左(右)理想由唯一的投影算子生成.这样可以谈到·正则环的投影算子的格.若格是完全的，则是一个连续几何(contjnuous罗。能好).一个有齐次基“t，…，a。(。)4)的有补模格(m团过肚妞-石ce)(亦见有补格(】atti优俪伍comPlemet出))是有正交补的格，当且仅当它同构于某个，正则环的投影算子的格.
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