D3-Modules

DOI10.1080/00927872.2012.718823zbMath1307.16003OpenAlexW4229533663MaRDI QIDQ5409803

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

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.718823

zbMATH Keywords

projective modulesdirect summandsprojective covershereditary ringsquasi-discrete modulessemiperfect ringsquasi-projective modules\(D3\)-modules\(D2\)-modules\(D3\)-covers

Mathematics Subject Classification ID

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) Noncommutative local and semilocal rings, perfect rings (16L30) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (20)

D4-Modules ⋮ Direct sums of ADS* modules. ⋮ Modules close to SSP- and SIP-modules ⋮ C3-modules ⋮ Rings whose cyclics are D3-modules ⋮ Modules in which sums or intersections of two direct summands are direct summands. ⋮ C4- and D4-Modules via perspective direct summands ⋮ Direct projective modules, direct injective modules, and their generalizations ⋮ On dual of square free modules ⋮ Artinian serial rings R with J3(R) = 0 ⋮ Small Dual-ADS Modules, Small ADS$${}^{\mathbf{\#}}$$ and Small ADS* Modules ⋮ Lifting of automorphisms of factor modules ⋮ On commutative rings whose maximal ideals are idempotent ⋮ When a (dual-)Baer module is a direct sum of (co-)prime modules ⋮ Dual Utumi modules ⋮ Simple-direct-modules ⋮ Simple-Direct-Projective Modules ⋮ On Direct ProjectiveH-Supplemented Modules ⋮ D3-MODULES VERSUSD4-MODULES – APPLICATIONS TO QUIVERS ⋮ On rings with envelopes and covers regarding to C3, D3 and flat modules

Cites Work

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• Projective modules
• Coherence for polynomial rings
• Injective and flat covers, envelopes and resolvents
• Rings whose modules are \(\oplus\)-supplemented
• Characterization of rings using direct-projective modules and direct- injective modules
• When every finitely generated flat module is projective.
• Direct-sum representations of injective modules
• ALL MODULES HAVE FLAT COVERS
• Properties of direct summands of modules
• Semihereditary rings
• Modules with the summand intersection property
• Modules with the summand intersection property

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