Relatively divisible and relatively flat objects in exact categories: applications
From MaRDI portal
Publication:2043863
DOI10.1007/s00200-021-00487-7zbMath1467.18014arXiv1810.11638OpenAlexW3134240726MaRDI QIDQ2043863
Derya Keskin Tütüncü, Septimiu Crivei
Publication date: 3 August 2021
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11638
exact categoryJacobson radicalmodule categorysimple modulecotorsion pairflat objectdivisible objectfinitely accessible additive categorypure short exact sequence
Module categories in associative algebras (16D90) Nonabelian homological algebra (category-theoretic aspects) (18G50) Abelian categories, Grothendieck categories (18E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Neat submodules over integral domains
- Finite splitness and finite projectivity
- Rings which have flat injective modules
- Flat covers of modules
- Weakly injective modules
- Pure submodules
- Purity in functor categories
- Exact categories
- Neat-flat Modules
- Schwach-Flache Moduln
- CONEAT SUBMODULES AND CONEAT-FLAT MODULES
- Definable additive categories: purity and model theory
- ALL MODULES HAVE FLAT COVERS
- Covers in finitely accessible categories
- MAX-INJECTIVE, MAX-FLAT MODULES AND MAX-COHERENT RINGS
- WHEN COTORSION MODULES ARE PURE INJECTIVE
- RELATIVE HOMOLOGICAL ALGEBRA IN CATEGORIES OF MODULES
- A Note on Absolutely Pure Modules
- Locally finitely presented additive categories
- PURE-INJECTIVE ENVELOPES
- Relatively divisible and relatively flat objects in exact categories
- Absolutelys-Pure Modules and Neat-Flat Modules
- On Covers and Envelopes in Some Functor Categories
- C-coherent rings, C-semihereditary rings and C-regular rings
- NEAT AND CONEAT SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
- Absolutely Pure Modules
- Coherent Rings and Fp -Injective Modules
- Absolutely Pure Modules
- Tilting preenvelopes and cotilting precovers
