Baer cotorsion pairs.
DOI10.1007/BF02777354zbMath1128.20042OpenAlexW1999849349MaRDI QIDQ2382342
Publication date: 9 October 2007
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02777354
classes of Abelian groupsclassification of Baer cotorsion pairscompletely decomposable Baer cotorsion pairstorsion groups orthogonal to rational groups
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Torsion-free groups, finite rank (20K15) Mixed groups (20K21)
Cites Work
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- Abelian group extensions and the axiom of constructibility
- Projective classes of torsion free Abelian groups. II
- Generating cotorsion theories and injective classes
- On endomorphism rings of primary Abelian groups
- Finite rank torsion free Abelian groups and rings
- Cotorsion theories cogenerated by \(\aleph_1\)-free Abelian groups.
- A characterization of \(n\)-cotilting and \(n\)-tilting modules.
- Covers induced by Ext
- Flat covers of modules
- On problems by Baer and Kulikov using \(V=L\)
- On the cogeneration of cotorsion pairs
- Cotilting and a hierarchy of almost cotorsion groups
- Approximations and endomorphism algebras of modules.
- Homomorphisms and duality for torsion-free groups
- Torsion groups in cotorsion classes.
- An addendum and corrigendum to ``Almost free splitters" (Colloq. Math. 81 (1999), 193–221)
- ALL MODULES HAVE FLAT COVERS
- Baer Modules over Domains
- Almost free splitters
- Cotilting modules are pure-injective
- Cotorsion theories and splitters
- n-COTILTING MODULES AND PURE-INJECTIVITY
- A Torsion Theory for Abelian Categories
- A Solution to the Splitting Mixed Group Problem of Baer
- Tilting Cotorsion Pairs
- On the lattice of cotorsion theories
- An independence result on cotorsion theories over valuation domains
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