Gorenstein homological aspects of monomorphism categories via Morita rings

DOI10.1007/s10468-016-9652-1zbMath1382.16008arXiv1508.02843OpenAlexW3098460708MaRDI QIDQ2363440

Chrysostomos Psaroudakis, Nan Gao

Publication date: 19 July 2017

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02843

zbMATH Keywords

Gorenstein-projective modulesGorenstein Artin algebrasmonomorphism categoriescoherent functorsMorita ringsGorenstein (sub)categorieshomological embeddings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Bimodules in associative algebras (16D20) Homological dimension in associative algebras (16E10)

Related Items

The heart of the Banach spaces ⋮ Comparisons of left recollements ⋮ Gorenstein projective bimodules via monomorphism categories and filtration categories ⋮ Ladders of compactly generated triangulated categories and preprojective algebras ⋮ RSS equivalences over a class of Morita rings ⋮ Construction of Gorenstein-projective modules over Morita rings ⋮ Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings ⋮ The Igusa-Todorov \(\phi \)-dimension on Morita context algebras ⋮ Homological epimorphisms, compactly generated \(t\)-structures and Gorenstein-projective modules ⋮ Weak silting modules over Morita context rings ⋮ Igusa–Todorov algebras over Morita rings ⋮ Ding projective modules over Morita context rings ⋮ Strongly stratifying ideals, Morita contexts and Hochschild homology ⋮ Gorenstein flat modules over some Morita context rings ⋮ Igusa-Todorov and LIT algebras on Morita context algebras ⋮ Derived equivalences between generalized matrix algebras ⋮ Resolving resolution dimension of recollements of abelian categories ⋮ Ladders of recollements of abelian categories ⋮ Pure projective modules and FP-injective modules over Morita rings ⋮ Gorenstein global dimension of recollements of abelian categories ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ Recollements of abelian categories and ideals in heredity chains—a recursive approach to quasi-hereditary algebras ⋮ Gorenstein Hereditary Rings ⋮ Gorenstein projective modules via total complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homological theory of recollements of abelian categories
• On Artin algebras arising from Morita contexts.
• Singularity categories and singular equivalences for resolving subcategories
• Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
• On algebras of finite Cohen-Macaulay type.
• Three results on Frobenius categories
• Monomorphism categories, cotilting theory, and Gorenstein-projective modules.
• Recollements of module categories
• Submodule categories of wild representation type.
• Strongly Gorenstein projective, injective, and flat modules
• A construction of Gorenstein-projective modules.
• Hochschild cohomology and stratifying ideals.
• On the representation theory of rings in matrix form
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• On the relative homology of cleft extensions of rings and abelian categories
• Gorenstein dimensions
• Realisation functors in tilting theory
• Chain complexes and stable categories
• Comparison of abelian categories recollements
• The stable monomorphism category of a Frobenius category
• Gorenstein-projective modules and symmetric recollements
• Adjoint functors and representation dimensions
• Exact categories
• Nilpotent operators and weighted projective lines
• GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS
• Auslander–Reiten translations in monomorphism categories
• Higher algebraic K-theory: I
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
• The Auslander-Reiten translation in submodule categories
• Invariant subspaces of nilpotent linear operators, I
• Stratifying endomorphism algebras
• Homological and homotopical aspects of torsion theories

This page was built for publication: Gorenstein homological aspects of monomorphism categories via Morita rings