1) semi-sigleton module
半单纯模
1.
A necessary and sufficient condition for semi-sigleton module becomes self-reflective is givenin the paper,it is proved thus a semi-sigleton module can be decomposed finitely if andonly if it is isomorphic to a vector space of dimension n on a division ring.
本文给出了一个关于可有限分解的半单纯模为自反模的一个充分必要条件，从而证明了可有限分解的半单纯模为自反模当且仅当X同构于某个除环上的n维向量空间。
2) semisimple ring
半单纯环
1.
2)let R be kthe-semisimple rings,for any x,y∈R,there exist integers m=m(x,y)≥n=n(x,y)≥0,fx,y(t)∈t2Z[t],such that fx,y(xmy)-yxn∈Z(R) or fx,y(yxm)-yxn∈Z(R),then R is commutative.
2)设R为k the半单纯环,若对R中任意x,y,存在整数m=m(x,y)≥n=n(x,y)≥0,多项式fx,y(t)∈t2Z[t]使得fx,y(xmy)-yxn∈Z(R)或fx,y(yxm)-yxn∈Z(R),则R为交换环。
3) weak semisimple
弱半单纯
1.
In this paper, the uniqueness of the complete norm topology for weak semisimple banach algebra is proved.
本文证明了弱半单纯Ｂａｎａｃｈ代数的完备范数拓扑在等价意义下的唯一性。
4) pure semisimple rings
纯半单环
5) kthe-semisimple rings
kthe半单纯环
6) Jacobson semi-simple ring
Jacobson半单纯环
1.
A commutativity theorem for Jacobson semi-simple rings;
Jacobson半单纯环的一个交换性定理
2.
This paper gives and proves two theorems for Jacobson semi-simple rings.
本文利用线性稠密性定理,结合多项式条件,推广了郭元春,于东,卢玉贞的结论,给出并证明了Jacobson半单纯环的两个交换性定理。
补充资料：半单模
半单模
semi-simple module
半单模[钻‘恤m口e nl川面血;no扭ynpoeTo盛Mo烦y“‘] 同完全可约模(c omPletefy刁记优ible 11袄泛ule).
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