An equivalence of categories for graded modules over monomial algebras and path algebras of quivers.

DOI10.1016/j.jalgebra.2011.11.033zbMath1261.16016arXiv1109.4387OpenAlexW1977977292MaRDI QIDQ441404

Cody Holdaway, S. Paul. Smith

Publication date: 23 August 2012

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

Full work available at URL: https://arxiv.org/abs/1109.4387

zbMATH Keywords

directed graphsmonomial algebrasrepresentations of quiverspath algebras of quiversfinitely generated connected graded algebrasmonomial relationsquotient categoriesUfnarovskii graphs

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) Directed graphs (digraphs), tournaments (05C20)

Related Items (3)

Category equivalences involving graded modules over weighted path algebras and weighted monomial algebras ⋮ ``Degenerate 3-dimensional Sklyanin algebras are monomial algebras. ⋮ The space of Penrose tilings and the noncommutative curve with homogeneous coordinate ring \(k\langle x,y \rangle/(y^2)\)

Cites Work

• Category equivalences involving graded modules over path algebras of quivers.
• A growth criterion for graphs and algebras defined by words
• Noncommutative projective schemes
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