1) Semi-V-ring
半V-环
2) V-idempotent semiring
V-幂等半环
1.
It is proved that V-idempotent semiring is normal if and only if it is a pseudo-strong right normal idempotent semiring of left zero semirings,and the direct product of left normal V-idempotent semiring with a ring is a pseudo-strong semilattice idempotent semiring of left rings,and some corollaries.
证明了V-幂等半环是正规的当且仅当它是左零半环的伪强右正规幂等半环,并得出左正规V-幂等半环与环的直积是左环的伪强半格幂等半环,及相关结论。
3) V-ring
V-环
1.
The author determines necessary and sufficient conditions for a forinal triangular matrix ring to be V-ring or semi- V-ring.
本文研究形式三角矩阵环 R 的若干新性质,讨论 R-模的伪投射性,给出了形式三角矩阵环 R 是 V-环或半 V-环的充要条件。
2.
A new generalization of V-rings is given by terms of quasi-dual module.
定义了quasi-dual模,讨论了它的性质和等价条件,并且通过quasi-dual模,详细讨论了V-环的一个新的推广结构,得到了以下等价条件:1R/Soc(RR)是右V-环;2每一个R的本质真右理想是极大右理想的交;3存在一个奇异半单右R-模是quasi-dual的。
4) V ring
V-环
1.
Introduces and characterizes graded V rings proves that a graded ring R and the rings which are derived by it, R,Re,R#G are identical on the properties about V rings on the conditions of finite group G type strongly graded ring (| G | is inverse of R , e is the identity of G ).
引入并刻划了分次 V-环 ,证明在有限群 G-型强分次环 (|G|是 R的逆元 ,e是 G的单位元 )的条件下 ,分次环 R及由它导出的非分次环 R,Re,R# G在 V-环性质上是一致的 。
2.
Some characterizations of cofinitely related modules are given,conoetherian rings and V rings are characterized by cofinitely related modules,some conditions under which coregular rings are V rings are given,a condition under which left hereditary rings are semisimple rings is given too.
给出了有限余相关模的刻画 ,用有限余相关模刻画了余 Noether环和 V-环 ,给出了余正则环为 V-环的条件和遗传环为半单环的一个条件 。
5) half "V"-shaped switching
半V字型
6) Half V-shaped switching
半"V"字形
补充资料：半单环
半单环
semi-ample ring
半单环[脚‘一滋田户d硬弓;助Jl”lpoc功“““城。1 根为零的环R.更确切地说，如果r是某种根(见环与代数的根(正山司ofnn乡anda」9 ebn玲))，环R称为;半单的(卜~一s如p卜)，是指r(R)“O通常人们将结合半单环理解为经共牛早环、。。~。一仁，漏司户6n。、.月.A.cxOP朋K邹撰冯绪宁译
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