关于广义路代数  

About Generalized Path Algebras

作　　者：陈利利[1] 

机构地区：[1]青岛科技大学数理学院,青岛266061

出　　处：《科学技术与工程》2010年第2期345-347,355,共4页Science Technology and Engineering

基　　金：青岛科技大学科研启动基金资助

摘　　要：通过将箭图的每个顶点放置一个k-代数,路代数的概念被推广到了广义路代数。首先研究了广义路代数的遗传性质。其次讨论了同构问题,证明了当两个正规广义路代数中的箭图都有限且无定向圈时,它们作为代数是同构的当且仅当它们中的箭图及对应顶点上的单代数是同构的。Path algebras are generalized to generalized path algebra through assigning a k-algebra to each vertex of a given quiver. Every normal generalized path algebra is hereditary, when its quiver is finite and without oriented cycles. Moreover, the isomorphism problem is discussed. It is shown that when quivers of two normal generalized path algebras are both finite and without oriented cycles, they are isomorphic if and only if their quivers and the sim- ple algebras over the corresponding vertices are isomorphic.

关 键 词：箭图 广义路代数 遗传代数 

分 类 号：O153.3[理学—数学]