On self-injective strongly π-regular rings
On self-injective strongly π-regular rings
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DOI：
10.1080/00927879208824552
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发表时间：
1993
影响因子：
0.7
通讯作者：
Y. Hirano;J. Park
中科院分区：
文献类型：
--
作者：
Y. Hirano;J. Park
2 3式为ar3aR2aR2.Dischinger[2]已证明该定义等同于相应的左版本。这种环包括左完全环或右完全环以及所有的代数。R中幂零元素x的指标是n个最小正整数n，使得x=0。R中的双边理想I的指标是I的所有幂零元素的指标的上确界。这个上确界是有限的，则称I是有界指标(幂零)。
2 3 of the form aR 3 a R 2 a R 2.... The definition hasbeen shown by Dischinger [2] to be equivalent tothe corresponding left version. Such rings include left or right perfect rings and all algebraic algebras. The index of a nilpotent element x in R is the n least positive integer n such that x= 0. The index of a two-sided ideal I in R is the supremum of the indices of all nilpotent elements of I. I fthis supremum is finite, then I is said to be of bounded index (of nilpotency).