Some aspects of torsion
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Publication:2522913
DOI10.2140/pjm.1965.15.1249zbMath0142.28002OpenAlexW1979858003MaRDI QIDQ2522913
Publication date: 1965
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1965.15.1249
Related Items (71)
On the extension dimension of module categories ⋮ Auslander's formula and correspondence for exact categories ⋮ Structure of perfect rings ⋮ Torsion pairs and cosilting in type \(\tilde{A}\) ⋮ Hereditary and cohereditary preradicals ⋮ Classification of split torsion torsionfree triples in module categories. ⋮ Layer lengths, torsion theories and the finitistic dimension ⋮ Rings whose modules form few torsion classes ⋮ Arbitrary torsion classes and almost free abelian groups ⋮ Cotorsion radicals and projective modules ⋮ TTF-classes over perfect rings ⋮ Four-fold torsion theories ⋮ TTF triples in functor categories. ⋮ Colocalization and localization in Abelian categories ⋮ Dominant modules and finite localizations ⋮ Reflective and coreflective subcategories ⋮ Splitting Hereditary Torsion Theories Over Semiperfect Rings ⋮ Relation between balanced pairs and TTF triples ⋮ Contravariant finiteness and iterated strong tilting ⋮ TTF theories induced by two-term tilting complexes and self-injective algebras ⋮ A note on divisible and codivisible dimension ⋮ Perfect quotient functors ⋮ Projective modules and $3$-fold torsion theories ⋮ Torsion Theories and Semihereditary Rings ⋮ Matching torsion and cotorsion theories ⋮ Relatively flat modules ⋮ On the Derived Quotient Module ⋮ Torsion theories and ring extensions ⋮ Generating and Cogenerating Structures ⋮ Perfect Torsion Theories ⋮ On rings with essential socle ⋮ Torsion Theories Over Semiperfect Rings ⋮ Divisible modules codivisible modules and quasi-divisible modules ⋮ Sur un problème de C. Faith ⋮ Stability of algebraic inverse systems. II: Purity and localization ⋮ The concrete description of the colocalization ⋮ S-anneaux noetheriens ⋮ Comparisons of recollements and tilting modules ⋮ Torsion pairs in recollements of abelian categories ⋮ On flatness relative to a torsion theory ⋮ Colocalization and localization ⋮ Commutative rings of which all radicals are left exact ⋮ On commutative rings which have completely reducible torsion theories ⋮ Parametrizing recollement data for triangulated categories ⋮ Splitting torsion theories ⋮ Torsion pairs in categories of modules over a preadditive category ⋮ Recollements of module categories ⋮ Torsionless modules ⋮ Rings of quotients of perfect rings ⋮ Rings of quotients of perfect rings ⋮ Localizations in categories of modules. III ⋮ Torsion theories of simple type ⋮ Semi-rigid classes of cotorsion-free Abelian groups ⋮ Recollements of abelian categories and special types of comma categories ⋮ Some properties of bivarieties in categories ⋮ Commutative rings over which all torsion theories are hereditary ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ On an \(n\)-fold torsion theory in the category \(_RM\). ⋮ FURTHER REMARKS ON ELEMENTARY RADICALS AND ASSOCIATED FILTERS OF IDEALS ⋮ Torsion associated with duality ⋮ S-modules and torsion theories over Artinian rings ⋮ Q-divisibility and injectivity ⋮ Four-fold torsion theories and rings of fractions ⋮ Four-fold torsion theories and rings of fractions ⋮ On torsions in modules ⋮ Strong pretorsions and strong filters, modules, and rings of quotients ⋮ Differential torsion theory. ⋮ Torsion theories with -gabriel topologies ⋮ Finitely hereditary torsion theories ⋮ Relative coherence and TTF classes ⋮ Support $\tau $-tilting modules and recollements
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