数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2005年
2期
143-147
,共5页
根性质%弱g-正则分次理想%弱正则分次理想%B8-半单
根性質%弱g-正則分次理想%弱正則分次理想%B8-半單
근성질%약g-정칙분차이상%약정칙분차이상%B8-반단
Radical property%Weak g-regular graded ideal%Weak regular graded ideal%B8semisimple
给出了建立分次环根的一般方法.作为其应用,建立了分次环的分次Brown-McCoy根,并给出了Brown-McCoy半单分次环的结构定理.
給齣瞭建立分次環根的一般方法.作為其應用,建立瞭分次環的分次Brown-McCoy根,併給齣瞭Brown-McCoy半單分次環的結構定理.
급출료건립분차배근적일반방법.작위기응용,건립료분차배적분차Brown-McCoy근,병급출료Brown-McCoy반단분차배적결구정리.
A general approach to the radical of a graded ring is proposed. The graded Brown-McCoy radical for group-graded rings is then developed as another instance of this idea. Furthermore, the structure theorem for Brown-McCoy semi-simple graded rings is also given.
