1) generalized semilocal ring
广义的半局部环
2) semi-local generalized derivation
半局部广义导子
1.
Meanuhice,we obtain the necessary and sufficient conditions that derivation,local derivation,semi-local generalized derivation,bilocal derivation,kernel-range preserving mapping are true on this subalgebra.
等价刻画了M3(C)中代数A的导子,局部导子,半局部广义导子,双局部导子,保核值映射。
3) semi-local ring
半局部环
1.
And semi-simple rings,Noetherian,V-rings,semi-Artinian rings,semi-local rings are characterized by pseudo-injective modules.
研究了伪内射模的性质,用伪内射模刻画了半单环,Noether、V-环,半Artin环和半局部环,得到的主要结果为:(1)伪内射模的完全不变子模是伪内射模;(2)R是半单环当且仅当伪内射模与半单模一致当且仅当半本原模是伪内射模,且本质基座的模是伪内射模当且仅当基座为0的模是伪内射模,伪内射模的直和伪内射;(3)R半Artin环当且仅当基座为0的模伪内射;(4)R是半局部环当且仅当R为左良好环且半本原模是伪内射模。
2.
Then when R is one of the following rings: (1) integral domain , (2) semi-local ring , (3) ring with J(R)=0.
设R是有单位元的交换环,M是R-模,如果对M的任意子模N,存在R的理想I,使得N=I·M,则称M是乘法R-模,本文主要结论是:设M=Rx_1+…+Rx_(?),其中x_i=(a_(1i),a_(2i),…,a_(?))∈R~(1×n),i=1,2,…,n,并且sum from i=1 to (?)a_(ii)=1,那么当R是下列环之一时:(1)整环;(2)半局部环;(3) J(R)=0,有:M是乘法R-模当且仅当F_2(A)=0,其中F_2(A)表示矩阵A=(a_(ij)_(?)中一切2阶子式在R中生成的理想。
4) Semilocal ring
半局部环
1.
This paper gives the structure of finitely cogenerated sub-projective modules and the structure of sub-projective modules over a semilocal ring.
给出了有限反生成的亚投射模的结构及半局部环上的亚投射模的结构，并用亚投射性刻划半单纯环和半局部环。
5) semilocal rings
半局部环
1.
Also we answer a question posed in [8] on K_1-groups of semilocal rings.
本文定义环R为半替换环如果R/J(R)为替换环,它是替换环和半局部环的共同推广。
2.
We give several equivalent characterizations of regularity and strongly regularity of semilocal rings in terms of JGP—Injective modules(rings).
本文主要借助JGP-内射模(环),给出半局部环的正则性和强正则性的一些等价刻画。
6) local generalized solution
局部广义解
1.
This paper gives the sufficient conditions for the blow-up of the solution of the Cauchy problem for a nonlinear hyperbolic equation in finite time and proves the existence and uniqueness of the local generalized solution.
给出一类非线性双曲型方程初值问题解爆破的充分条件,并且证明问题局部广义解的存在性和唯一性。
补充资料：广义
范围较宽的定义（跟‘狭义’相对）：～的杂文也可以包括小品文在内。
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