Rings whose cyclics are essentially embeddable in projective modules

DOI10.1016/0021-8693(90)90052-PzbMath0698.16012OpenAlexW2006984140MaRDI QIDQ912190

Sergio R. López-Permouth, Surender Kumar Jain

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90052-p

zbMATH Keywords

trivial extensionquasi-Frobenius ringssemiperfect ringindecomposable projective moduleright uniserial ringsdirect sum of right uniserial ringsleft CEP-ringmatrix rings over right self-injective right uniserial ringsQF-3 ringright CEP-ringsright injective hull

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30)

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Cites Work

• Direct-sum representations of injective modules
• Modules with decompositions that complement direct summands
• Self-Injective Rings
• A Generalization of the Wedderburn-Artin Theorem
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