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Some categories of lattices associated to a central idempotent

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Publication:1293333
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DOI10.1215/kjm/1250518062zbMath0935.16006OpenAlexW1566845404MaRDI QIDQ1293333

Osamu Iyama

Publication date: 7 May 2000

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518062


zbMATH Keywords

ordersfinite-dimensional algebrascentral idempotentsAuslander-Reiten quiverslatticesquotient categoriesindecomposablesinjectivesprojectivesgeneralized overorders


Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)


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The relationship between homological properties and representation theoretic realization of artin algebras ⋮ Unnamed Item ⋮ \(\tau\)-categories. III: Auslander orders and Auslander-Reiten quivers.



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