Noetherianity and Gelfand-Kirillov dimension of components.
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Publication:965159
DOI10.1016/j.jalgebra.2009.12.013zbMath1235.16017OpenAlexW2005080505MaRDI QIDQ965159
Roberto Martínez-Villa, Øyvind Solberg
Publication date: 21 April 2010
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.12.013
Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Growth rate, Gelfand-Kirillov dimension (16P90) Representations of associative Artinian rings (16G10) Preadditive, additive categories (18E05) Functor categories, comma categories (18A25)
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The Auslander-Reiten components seen as quasi-hereditary categories, Tilting theory and functor categories. I: Classical tilting., A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS
Cites Work
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- Unnamed Item
- Finite dimensional hereditary algebras of wild representation type
- Graded and Koszul categories
- Artin-Schelter regular algebras and categories.
- Radical layers of representable functors
- Graded algebras of global dimension 3
- Submodule structure of generalized Verma modules induced from generic Gelfand-Zetlin modules
- Spectral properties of Coxeter transformations and applications
- Approximations with modules having linear resolutions.
- Quasi-hereditary extension algebras.
- Support varieties for selfinjective algebras.
- Rings with several objects
- Koszul duality and equivalences of categories
- Almost Split Sequences whose Middle Term has at most Two Indecomposable Summands
- The Structure of Stable Components
- Koszul Duality Patterns in Representation Theory
- Koszul Resolutions
- The Auslander-Reiten quiver of a finite group