路代数的有向图特征与Brown－McCoy根

Properties of Digraphs and Brown-MeCoy Radical for Path Algebras

中文关键词:  Brown－McCoy根  n－族  本原代数  Nocther代数  Goldie代数．

中文摘要:

      本文解决路代数中若干遗留问题，给出本原路代数、（右）Ｇｏｌｄｉｅ路代数的有向图特征，证明广义路代数的Ｂｒｏｗｎ－ＭｃＣｏｙ根与它的Ｊａｃｏｂｓｏｎ根不必重合．

英文摘要:

      In this paper,we discuss the properties of digraphs for primitive path algebra and(right)Goldie path algebra;and prove that Brown-McCoy radical of the generalized pathalgebra does not coincide with the Jacobson radical in general.