Finitely Generated Modules over Pullback Rings
نویسندگان
چکیده
The purpose of this paper is to outline a new approach to the classii-cation of nitely generated indecomposable modules over certain kinds of pullback rings. If R is the pullback of two hereditary noetherian serial rings over a common semi{simple artinian ring, then this classiication can be divided into the classiica-tion of indecomposable artinian modules and those modules over the coordinate rings with no non{trivial artinian submodules. The classiication of the artinian modules can be reduced to the case of a nite dimensional algebra over a semi{simple ring. This approach is carried out in the case where the coordinate rings are hereditary noetherian serial rings over a common quotient which is a matrix ring over a eld.
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