1) Bear Semisimple
Bear-半单环
1.
In this paper, We investigate the Bear Radical of Semigroup Rings, and we obtain that the suffcient and necessary Conditions of Bear Semisimple for Semigroup Rings.
讨论半群环 R[S]的 Bear-根 ,刻划了 R[S]是 Bear-半单环的充分和必要条件 。
2) Bear semi-simple rings
Bear半单环
3) Bear ring
Bear环
1.
We show some relations of morphic ring,G-morphic ring,PP-ring,GPP-ring,Bear ring and regular ring.
讨论了morphic环,G-morphic环,PP环,GPP环,Bear环与正则环之间的关系。
4) Jacobson semisimple semiring
Jacobson半单半环
5) simple semiring
单半环
6) 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。
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
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参考词条