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Stratifying systems and Jordan-H\"{o}lder extriangulated categories

math.RT · 2022-08-16 · unverdicted · novelty 7.0

Extends stratifying systems to extriangulated categories, proves F(Φ) is Jordan-Hölder under left exactness on minimal projective completions, characterizes length categories via Grothendieck monoids, and answers an open question negatively.

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  • Stratifying systems and Jordan-H\"{o}lder extriangulated categories math.RT · 2022-08-16 · unverdicted · none · ref 5

    Extends stratifying systems to extriangulated categories, proves F(Φ) is Jordan-Hölder under left exactness on minimal projective completions, characterizes length categories via Grothendieck monoids, and answers an open question negatively.