La structure des modules par rapport à une topologie additive

DOI10.2748/tmj/1178241178zbMath0283.16020OpenAlexW2052445391MaRDI QIDQ1844292

Constantin Năstăsescu

Publication date: 1974

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241178

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals and multiplicative ideal theory in commutative rings (13A15) Representation theory of associative rings and algebras (16Gxx)

Related Items (15)

Duality, localization and completion ⋮ Torsion theories for coalgebras ⋮ The Local gabriel correspondence ⋮ Matlis reflexive modules on complete rings ⋮ Delta-modules and their quasi-injective hulls ⋮ Multiplication modules relative to torsion theories ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Some aspects of non-noetherian local cohomology ⋮ Completions of commutative rings and modules ⋮ Anneaux de quotients et modules ∑(▵)-injectifs ⋮ The kernels of completion maps and a relative form of Nakayama's lemma ⋮ On the endomorphism ring of a module Noetherian with respect to a torsion theory ⋮ Decomposition of injective modules relative to a torsion theory ⋮ Cousin complex,local cohomology and torsion theory ⋮ Finiteness conditions for graded modules (Gr-\(\Sigma\) (\(\Delta\) )- injective modules)

Cites Work

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• Injective modules over Noetherian rings
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• Direct-sum representations of injective modules
• Torisonfree injective modules
• Décomposition primaire dans les anneaux semi-artiniens
• On the localization ring of a ring
• Injective modules over a Krull domain
• A Torsion Theory for Abelian Categories
• Arithmetical rings
• Des catégories abéliennes
• Anneaux semi-artiniens

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