ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING

Document Type : Original Manuscript

Authors

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

Abstract

‎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.

Keywords

References

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Journal of Algebraic Systems
Volume 11, Issue 2
January 2024
Pages 33-51

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