On the Injective Hulls of Semisimple Modules

DOI10.2307/1995466zbMath0215.09104OpenAlexW4253486607MaRDI QIDQ5617730

Jeffrey Levine

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995466

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Ideals and multiplicative ideal theory in commutative rings (13A15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Sur l'enveloppe injective des anneaux de groupes réguliers ⋮ Splitting torsion theories over commutative rings ⋮ The Sum-Product Splitting Property and Injective Direct Sums of Modules Over Von Neumann Regular Rings ⋮ Decompositions of injective modules over non-noetherian rings ⋮ Über die aufsteigende Kettenbedingung für Annullatoren

Cites Work

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• Homogeneity problems in the theory of Cech compactifications
• Finiteness of the injective hull
• Ultraproducts in the theory of models
• Injective hulls of semi-simple modules over regular rings
• On bicompact spaces
• Über injektive Moduln
• Quasi-Injective Modules and Irreducible Rings
• Rings with Ascending Condition on Annihilators
• Homological Dimension and Cardinality
• Anneaux semi-artiniens
• On Regular Rings