Sur les anneaux tels que tout produit de copies d'un module quasi- injectif soit un module quasi-injectif

DOI10.1007/BF02414923zbMath0309.16021MaRDI QIDQ1218911

Claude Tisseron

Publication date: 1975

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Projective and free modules and ideals in commutative rings (13C10) Commutative Noetherian rings and modules (13E05) Divisibility, noncommutative UFDs (16U30)

Related Items (2)

Skew-injective modules ⋮ Modules

Cites Work

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• Injective modules over Noetherian rings
• Anneaux réduits non commutatifs
• Lectures on injective modules and quotient rings
• Note on quasi-injective modules
• On direct representations of quasi-injectives and quasi-projectives
• Hereditary Noetherian prime rings
• On fully left bounded left Noetherian rings
• The Structure of Prime Rings Under Ascending Chain Conditions
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Direct Products of Modules
• Quasi-Injective Modules and Irreducible Rings
• Note on Non-Commutative Semi-Local Rings
• Rings with Ascending Condition on Annihilators
• Asano Orders
• Des catégories abéliennes
• Homological properties of the ring of differential polynomials
• Rings Whose Quasi-Injective Modules are Injective
• Local Rings Whose Maximal Ideal is Principal as a Right Ideal
• Anneaux semi-artiniens
• Modules over bounded Dedekind prime rings

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