Classifying global dimensions of category algebras of some finite combinational categories

DOI10.1080/00927872.2019.1566917zbMath1471.16009arXiv1803.08808OpenAlexW2964192546MaRDI QIDQ5384661

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Publication date: 24 June 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08808

zbMATH Keywords

global dimensionprojective coverfinite combinational category

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10)

Cites Work

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• Depth and the local cohomology of \(\mathcal{FI}_G\)-modules
• FI-modules and stability for representations of symmetric groups
• Representation stability and finite linear groups
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• Gröbner methods for representations of combinatorial categories
• Homological degrees of representations of categories with shift functors
• Coinduction functor in representation stability theory
• Incidence Category of the Young Lattice, Injections Between Finite Sets, and Koszulity

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