Extension groups between atoms in abelian categories
From MaRDI portal
Publication:2031594
DOI10.1016/j.jpaa.2021.106669zbMath1483.18012arXiv1810.04306OpenAlexW2897458475WikidataQ112882083 ScholiaQ112882083MaRDI QIDQ2031594
Publication date: 9 June 2021
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.04306
abelian categoryGrothendieck categoryKrull-Gabriel dimensionlocalizing subcategoryatom spectrumZiegler spectrum
Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Noetherian rings and modules (associative rings and algebras) (16P40)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification of categorical subspaces of locally noetherian schemes
- Classifying Serre subcategories via atom spectrum
- Extension groups between atoms and objects in locally noetherian Grothendieck category
- The spectrum of a locally coherent category
- Injective modules over Noetherian rings
- The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
- A topological characterization of stable rings
- The injective spectrum of a noncommutative space.
- Finiteness of the number of minimal atoms in Grothendieck categories
- Classifying thick subcategories of the stable category of Cohen-Macaulay modules
- Specialization orders on atom spectra of Grothendieck categories
- Towards a theory of Bass numbers with application to Gorenstein algebras
- Classifying subcategories of modules over a commutative noetherian ring
- On Stable Noetherian Rings
- Semi-stability and topologies onR-Sp
- The Ziegler Spectrum of a Locally Coherent Grothendieck Category
- Categories and Sheaves
- Prime Ideal Structure in Commutative Rings
- Des catégories abéliennes
- On Inverse Systems with Trivial Limits