Loewy matrix, koszul cone and applications

DOI10.1080/00927870008826869zbMath0965.16026OpenAlexW2018866715MaRDI QIDQ4944401

Qiuxian Wu, Jin-Yun Guo

Publication date: 2 July 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826869

zbMATH Keywords

complexityprojective resolutionsGelfand-Kirillov dimensionspectral radiiconvex hullsYoneda algebrasKoszul modulesorthogonal idempotentsFrobenius matricesLoewy matricesfinite-dimensional graded algebrasgraded selfinjective Koszul algebrasLoewy conexLoewy dimension vectors

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (6)

ALGEBRA PAIRS ASSOCIATED TO McKAY QUIVERS ⋮ Returning arrows for self-injective algebras and Artin-Schelter regular algebras. ⋮ On the Koszul modules of exterior algebras. ⋮ Selfinjective Koszul algebras of finite complexity. ⋮ Coverings and truncations of graded self-injective algebras. ⋮ On \(n\)-slice algebras and related algebras

Cites Work

• On the Coxeter transformation of a wild algebra
• Finitistic dimension of Artinian rings with vanishing radical cube
• Translation algebras and their applications.
• Eigenvalues of coxeter transformations and the structure of regular componentsof an auslander-reiten quiver
• Spectral Properties of Matrices which have Invariant Cones
• The Auslander-Reiten quiver of a finite group
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