ON RINGS OVER WHICH THE INJECTIVE HULL OF EACH CYCLIC MODULE IS Σ-EXTENDING

DOI10.1142/S0219498812501277zbMath1273.16005WikidataQ114072560 ScholiaQ114072560MaRDI QIDQ4904434

Dinh Van Huynh, Chitlada Somsup, Sarapee Chairat

Publication date: 29 January 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

direct sumsdirect summandsNoetherian ringsinjective hulls\(\Sigma\)-injective modulesright CSI-rings\(\Sigma\)-extending modulesright CSE-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)

Related Items (1)

On Some Artinian QF-3 Rings

Cites Work

• Rings whose cyclic modules have finitely generated socle
• Commutative rings whose quotients are Goldie
• An approach to Boyle's conjecture
• When Cyclic Modules Have Σ-Injective Hulls
• Rings with Ascending Condition on Annihilators
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