Pure-semisimplicity of the category of graded modules over graded artin algebras

DOI10.1142/s0219498823501499zbMath1521.16006OpenAlexW4225127359MaRDI QIDQ6163895

Razieh Vahed, Unnamed Author

Publication date: 30 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501499

zbMATH Keywords

graded modulespure-semisimple categoriesgraded Artin algebrasalgebras of finite representation type

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of associative Artinian rings (16G10) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An Auslander-type result for Gorenstein-projective modules.
• Preprojective modules over Artin algebras
• Graded Artin algebras
• Representation theory of graded Artin algebras
• Representation-theoretic properties of balanced big Cohen-Macaulay modules
• Stable equivalences of graded algebras.
• The category of lattices over a lattice-finite ring.
• Lattice-finite rings.
• Rings whose modules have nice decompositions
• Direct Products of Modules
• On pure global dimension of locally finitely presented Grothendieck categories
• On pure semi-simple Grothendieck categories I
• Locally finitely presented additive categories
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Note on Rings of Finite Representation Type and Decompositions of Modules
• Representation Theory of Artin Algebras II

This page was built for publication: Pure-semisimplicity of the category of graded modules over graded artin algebras