Let A be a finite-dimensional associative algebra with identity over a field k.In this paper we introduce the concept of(*)-serial algebras which is a generalization of serial algebras.We investigate the properties of...Let A be a finite-dimensional associative algebra with identity over a field k.In this paper we introduce the concept of(*)-serial algebras which is a generalization of serial algebras.We investigate the properties of(*)-serial algebras,and we obtain suficient and necessary conditions for an associative algebra to be(*)-serial.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.10971172)Natural Science Foundation of Beijing(Grant No.1092002)Natural Science Foundation of Beijing University of Technology
文摘Let A be a finite-dimensional associative algebra with identity over a field k.In this paper we introduce the concept of(*)-serial algebras which is a generalization of serial algebras.We investigate the properties of(*)-serial algebras,and we obtain suficient and necessary conditions for an associative algebra to be(*)-serial.