ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 2، فروردین 2024، صفحه 33-51 اصل مقاله (173.47 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.11638.1593 | ||
| نویسندگان | ||
| Farkhondeh Farzalipour؛ Peyman Ghiasvand* | ||
| Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Absorbing prime multiplication modules؛ Dedekind domains؛ Separated modules؛ Pure-injective modules؛ Pullback rings | ||
| مراجع | ||
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