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Mathematics > Rings and Algebras

arXiv:2504.12873 (math)
[Submitted on 17 Apr 2025 ]

Title: On a category of extensions whose endomorphism rings have at most four maximal ideals

Title: 关于其自同构环最多只有四个极大理想的扩张范畴

Authors:Federico Campanini, Alberto Facchini
Abstract: We describe the endomorphism ring of a short exact sequences $0 \to A_R \to B_R \to C_R \to 0$ with $A_R$ and $C_R$ uniserial modules and the behavior of these short exact sequences as far as their direct sums are concerned.
Abstract: 我们描述了短正合序列 $0 \to A_R \to B_R \to C_R \to 0$ 的自同态环,其中 $A_R$ 和 $C_R$ 是单链模,并讨论了这些短正合序列关于其直和的性质。
Subjects: Rings and Algebras (math.RA)
Cite as: arXiv:2504.12873 [math.RA]
  (or arXiv:2504.12873v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.2504.12873
arXiv-issued DOI via DataCite
Related DOI: https://doi.org/10.1090/conm/715/14407
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Submission history

From: Federico Campanini Mr [view email]
[v1] Thu, 17 Apr 2025 12:02:19 UTC (19 KB)
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