A Generalization of the Wedderburn-Artin Theorem

DOI10.2307/2047368zbMath0681.16016OpenAlexW4253262725MaRDI QIDQ4729932

Surender Kumar Jain, Sergio R. López-Permouth

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047368

zbMATH Keywords

semiperfect ringWedderburn-Artin theoremcyclic right modulesdirect sum of right uniserial ringsessentially embeddablematrix rings over right self- injective right uniserial rings

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) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (4)

New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture ⋮ On continuous rings ⋮ Rings whose cyclics are essentially embeddable in projective modules ⋮ Essential embedding of cyclic modules in projectives

Cites Work

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• Noncommutative rings whose cyclic modules have cyclic injective hulls
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• π-injective modules and rings whose cyclics are π-injective

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