1)  V-rings
V环
1.
A ring R is said to be a FCGP-ring if each FCG-projective R-module is projective,some equivalent conditions of FCG-projective modules are given,left V-rings and semisimple rings are characterized by FCG-projective modules,characters and equivalent conditions of FCGP-rings are discussed.
给出了 FCG投射模的等价条件 ,并用 FCG投射模刻画了左 V环和半单环 。
2)  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。
3)  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 。
4)  H V ring
H-V环
5)  Gr V ring
Gr-V-环
6)  GP-V-ring
GP-V环
1.
Regularity of GP-V-rings and SF-rings;
GP-V环和SF环的正则性
参考词条
补充资料:(—)—(1R,2S)—(1,2—环氧丙基)—磷酸钙—水合物与(+)—(1R,2S)—(1,2—环氧丙基)—磷酸钙—水合物各占一半的混合物。
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性质:白色结晶性粉末

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