On the Koszul modules of exterior algebras.

DOI10.1007/s10114-007-0971-3zbMath1150.16012OpenAlexW2042851676MaRDI QIDQ2477792

Qianhong Wan, Qiuxian Wu, Jin-Yun Guo

Publication date: 14 March 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0971-3

zbMATH Keywords

filtrationsKoszul modulesexterior algebrascyclic dimension vectors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Quadratic and Koszul algebras (16S37) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (2)

Selfinjective Koszul algebras of finite complexity. ⋮ On modules with \(d\)-Koszul-type submodules.

Cites Work

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• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Approximations with modules having linear resolutions.
• Translation algebras and their applications.
• Periodic resolutions over exterior algebras.
• Selfinjective Koszul algebras of finite complexity.
• Representation dimension of exterior algebras
• On the category of Koszul modules of complexity one of an exterior algebra.
• Sheaf cohomology and free resolutions over exterior algebras
• A note on the stable equivalence conjecture
• Loewy matrix, koszul cone and applications
• On the Tubes of Exterior Algebras

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