Phantom covering ideals in categories without enough projective morphisms
From MaRDI portal
Publication:2197552
DOI10.1016/j.jalgebra.2020.06.014zbMath1458.16018arXiv1607.06529OpenAlexW3037901215MaRDI QIDQ2197552
Sinem Odabaşı, Sergio Estrada, Pedro A. Guil Asensio
Publication date: 1 September 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.06529
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Abelian categories, Grothendieck categories (18E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximations and adjoints in homotopy categories
- Relative homological algebra in the category of quasi-coherent sheaves.
- Flat and cotorsion quasi-coherent sheaves. Applications
- Covers and directed colimits.
- Injective and flat covers, envelopes and resolvents
- Ideals in triangulated categories: Phantoms, ghosts and skeleta
- Phantom maps in the stable module category
- Phantom maps and homology theories
- The phantom cover of a module.
- Ideal approximation theory
- Covering ideals of morphisms and module representations of the quiver \(\mathbb A_2\).
- Exact categories
- Powers of the phantom ideal
- Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
- Pure Injective and Absolutely Pure Sheaves
- On Pure Quotients and Pure Subobjects
- Classifying finite localizations of quasicoherent sheaves
- RELATIVE HOMOLOGICAL ALGEBRA IN CATEGORIES OF MODULES
- Higher algebraic K-theory: I
- Exact categories and vector space categories
- Locally finitely presented additive categories
- Local homology and cohomology on schemes
- PURE-INJECTIVE ENVELOPES
- Pure exact structures and the pure derived category of a scheme
- Groups which do not admit ghosts
- Purity in locally-presentable monoidal categories
