New characterization of $\Sigma $-injective modules

DOI10.1090/S0002-9939-08-09420-3zbMath1163.16003OpenAlexW1541866592WikidataQ114094085 ScholiaQ114094085MaRDI QIDQ3533861

Ashish K. Srivastava, Kostia I. Beidar, Surender Kumar Jain

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09420-3

zbMATH Keywords

direct sumsinjective modulesright Noetherian ringsessential extensions\(\Sigma\)-injective modules

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) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (4)

Direct sums of injective and projective modules. ⋮ On infinite direct sums of lifting modules ⋮ When every endomorphism of a Σ-injective module is a sum of two commuting automorphisms ⋮ Characterizing categoricity in several classes of modules

Cites Work

• Unnamed Item
• On essential extensions of direct sums of injective modules
• Direct-sum representations of injective modules
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Countable Injective Modules are Sigma Injective
• Sur l'enveloppe injective des anneaux de groupes réguliers
• Rings with Ascending Condition on Annihilators

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