ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING
نویسندگان
1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
2 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
doi
10.22044/jas.2022.11638.1593چکیده
The main purpose of this article is to present a new approach to the classification of all indecomposable absorbing prime multiplication modules with finite-dimensional top over pullback rings of two Dedekind domains. First, we give a complete description of the absorbing prime multiplication modules over a local Dedekind domain. In fact, we extend the definition and results given in \cite{108} to a more general absorbing prime multiplication modules case. Next, we establish a connection between the absorbing prime multiplication modules and the pure-injective modules over such rings.