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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{nasseh2026structure,
  title = {{Structure of irreducible homomorphisms to/from free and injective modules}},
  author = {Saeed Nasseh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.30638},
  eprint = {2609.30638},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30638},
}
RIS
TY  - UNPB
TI  - Structure of irreducible homomorphisms to/from free and injective modules
AU  - Saeed Nasseh
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.30638
UR  - https://arxiv.org/abs/2609.30638
AB  - 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.
ER  -