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arXiv · 2609.30638

Structure of irreducible homomorphisms to/from free and injective modules

Saeed Nasseh
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Abstract

Let $R$ be a commutative noetherian local ring. We extend the work of the author and Takahashi by investigating the structure of irreducible monomorphisms originating from free modules in the category of finitely generated $R$-modules. In the case where $R$ is complete, we further study the structure of irreducible monomorphisms and epimorphisms to and from injective modules in the category of artinian $R$-modules.

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Saeed Nasseh. 2026-09-25. Structure of irreducible homomorphisms to/from free and injective modules. https://arxiv.org/abs/2609.30638

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