Joseph Reid

most citedModules determined by their composition factors in higher homological algebra

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3 papers

math.RT2020★ 1 cited

Modules determined by their composition factors in higher homological algebra

Joseph Reid

ABSTRACT. Let $Φ$ be a finite dimensional $K$ -algebra and let $C = mod Φ$ be the abelian category of finitely generated right $Φ$ -modules. In their 1985 paper…

math.RT2019

Tropical Duality in $(d + 2)$ -angulated categories

Joseph Reid

Let $C$ be a $2$ -Calabi-Yau triangulated category with two cluster tilting subcategories $T$ and $U$ . Results by Demonet-Iyama-Jasso and Jørgensen-Yak…

math.RT2019

Indecomposable objects determined by their index in Higher Homological Algebra

Joseph Reid

Let $C$ be a 2-Calabi-Yau triangulated category, and let $T$ be a cluster tilting subcategory of $C$ . An important result from Dehy and Keller tells u…

Modules determined by their composition factors in higher homological algebra

Tropical Duality in (d+2)-angulated categories

Indecomposable objects determined by their index in Higher Homological Algebra

Tropical Duality in $(d + 2)$ -angulated categories