The National Natural Science Foundation of China(No.10571026,10871051);Specialized Research Fund for the Doctoral Pro-gram of Higher Education(No.20060286006,200802860024)
In order to study the Drazin invertibility of a matrix with the generalized factorization over an arbitrary ring, the necessary and sufficient conditions for the existence of the Drazin inverse of a matrix are given b...
Supported by the National Natural Science Foundation of China (Grant No.10571026);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20060286006) ;Science Foundation for Youth Scholars of Northwest Normal University (Grant No.NWNU-LKQN-08-1)
For a right R-module N, we introduce the quasi-Armendariz modules which are a common generalization of the Armendariz modules and the quasi-Armendariz rings, and investigate their properties. Moreover, we prove that N...