C3-Modules

DOI10.1142/S1005386715000553zbMath1352.16002OpenAlexW4237538535MaRDI QIDQ3459178

I. A. Amin, Yasser Ibrahim, Mohamed F. Yousif

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1142/s1005386715000553

zbMATH Keywords

\(C2\)-modules and \(C3\)-modulesinjective and quasi-injective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (19)

Modules close to SSP- and SIP-modules ⋮ On a generalization of $C_2$-modules ⋮ C4- and D4-Modules via perspective direct summands ⋮ C4-Modules ⋮ Direct projective modules, direct injective modules, and their generalizations ⋮ Semisimple-direct-injective modules ⋮ Unnamed Item ⋮ On commutative rings whose maximal ideals are idempotent ⋮ On modules and rings satisfy condition (𝒞) ⋮ Simple-direct-injective modules. ⋮ Rings whose cyclics are C3-modules ⋮ Rings whose injective hulls are dual square free ⋮ Simple-direct-modules ⋮ T-quasi-continuous modules ⋮ Simple-Direct-Projective Modules ⋮ Characterization of rings using finite-direct-injective modules ⋮ Unnamed Item ⋮ On rings with envelopes and covers regarding to C3, D3 and flat modules ⋮ Rings whose cyclics are U-modules

Cites Work

• Injective and flat covers, envelopes and resolvents
• Semiregular, semiperfect and perfect rings relative to an ideal.
• Characterization of rings using direct-projective modules and direct- injective modules
• Lifting modules, extending modules and their applications to QF-rings
• A generalization of quasi-Frobenius rings
• Direct-sum representations of injective modules
• Orders in self-injective semi-perfect rings
• On direct representations of quasi-injectives and quasi-projectives
• On Artiness of Right CF Rings
• Strongly Simple-Injective Rings and Modules
• Semiregular Modules and Rings
• Soc-Injective Rings and Modules*
• Rings with Ascending Condition on Annihilators
• On Continuous Regular Rings

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