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Krull-Schmidt categories and projective covers

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arxiv 1410.2822 v1 pith:BCSUSJLR submitted 2014-10-10 math.RT math.CT

classification math.RTmath.CT
keywords categorieskrull-schmidtprojectiveadditiveconceptcovercoversdecomposes
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Krull-Schmidt categories are additive categories such that each object decomposes into a finite direct sum of indecomposable objects having local endomorphism rings. We provide a self-contained introduction which is based on the concept of a projective cover.

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  1. Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

    math.RT 2025-08 unverdicted novelty 7.0 of 10

    The paper constructs infinite discrete Nakayama representations via persistence theory and stabilizes them into negative Calabi-Yau versions of Igusa-Todorov discrete cluster categories of type A, with geometric model...

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