摘要
引进了分次拟遗传根,证明了任意一个分次拟遗传根R的分次补根,恰好是由所有强R-分次半单环组成;并且指出任意一个分次根的分次补根是分次对偶根。
Introduces graded quasi-hereditary radicals. Shows that the graded supplementing radical of a graded quasi-hereditary radical exactly consists of all the strongly R-graded semisimple rings and the graded supplementing radical of a graded radical is always graded dual.
关键词
分次补根
分次拟遗传根
分次根
Graded supplementing radical, Graded quasi-hereditary radical