1) Kothe radical
Kothe根
1.
In this paper,the concept of the Kothe radical of additive categories is given by means of module theo-retic characterization,and the stucture theorem of the Kothe- semisimple additive category is obtained.
本文在加法范畴中引入了Kothe根的概念,给出了加法范畴Kothe根的刻划,得到了与环论中结论类似的结构定理。
2) Kothe module
Kothe模
3) kothe-semisimple rings
kothe半单环
1.
2)Let R be kothe-semisimple rings,for any x,y∈R,there exist integers m=m(x,y)>1,n=n(x,y)>1, such that (x~my)~n-yx~m∈Z(R),then R is commutative.
2)设R为kothe半单环,若对R中任意元x,y,存在整数m=m(y)>1,n=n(x,y)>1,使得(xmy)n-yxm∈Z(R)则R为交换环。
4) Kothe-Bochner spaces
Kothe-Bochner空间
5) Kothe problem
Kothe问题
1.
The equivalent conditions of Kothe problem;
Kothe问题的等价条件
6) Kothe dual
Kothe对偶
1.
Some Musielak-Orlicz sequence spaces are discussed, and by using the methods of the vector-value sequence space, their Kothe duals are characterized.
考虑一些Musielak -Orlicz型序列空间与函数空间 ,并应用矢值序列空间方法刻划其Kothe对偶 。
2.
By using the methods of the sequence space, their Kothe duals are charaeterized.
描述一类序列型函数空间,它们与某矢量序列空间等距同构,并应用矢量序列空间方法刻划其 Kothe对偶。
补充资料:有根
1.方言。根基厚实﹐有根底。 2.方言。犹有种。 3.有根据。 4.有来头;有依恃。
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