1) n-regular ring
n-正则环
1.
In this paper,we mainly prove the followings are equivalent: (1) R is a n-regular ring; (2) Every left(right) R-module is Wnil-injective; (3) Every cyclic left(right) R-module is Wnil-injective; (4) R is a left(right) GNPP,left(right) Wnil-injective ring.
本文中,我们主要证明以下陈述等价:(1)R是n-正则环;(2)每一个左(右)R-模是Wnil-内射的;(3)每一个循环左(右)R-模是Wnil-内射环;(4)R是左(右)GNPP,左(右)Wnil-内射环。
2) n-regular rings
n-正则环
1.
(3) For a ring R the following are equivalent:(i) R is n-regular rings(ii) R is right n-C2 rings and right n-Gpp rings.
证明了如下结果:(1)环R是n-C2环当且仅当n∈Z+,对于a∈R,若r(an)=r(e),其中e2=e∈R,则e∈Ran;(2)若R是右n-C2环,则Zr(R)J(R);(3)若R是一个环,则下列条件等价:(i)R是n-正则环;(ii)R是右n-C2环和右n-Gpp环。
3) Strong Regularity of N-rings
N-环的强正则性
4) (regular) local n-cocycle
(正则)局部n-上循环
5) 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。
6) C R regular ring
CR-正则环
补充资料：[3-(aminosulfonyl)-4-chloro-N-(2.3-dihydro-2-methyl-1H-indol-1-yl)benzamide]
分子式：C16H16ClN3O3S
分子量：365.5
CAS号：26807-65-8
性质：暂无
制备方法：暂无
用途：用于轻、中度原发性高血压。
分子量：365.5
CAS号：26807-65-8
性质：暂无
制备方法：暂无
用途：用于轻、中度原发性高血压。
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