On rings with envelopes and covers regarding to C3, D3 and flat modules

DOI10.1142/S0219498821502285zbMath1494.16006OpenAlexW3046999522MaRDI QIDQ5024532

Phan Dan, Le Van Thuyet, Truong Cong Quynh

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498821502285

zbMATH Keywords

coverenvelopeflathereditary serial ringsemihereditary serial ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

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Cites Work

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• Relative homological algebra. Vol. 2
• FI-injective and FI-flat modules.
• Serial rings and finitely presented modules
• Flat covers of modules
• When every finitely generated flat module is projective.
• Modules coinvariant under the idempotent endomorphisms of their covers
• Lifting modules, extending modules and their applications to QF-rings
• Modules invariant under automorphisms of their covers and envelopes.
• Torsion-free modules and rings
• Modules which are invariant under idempotents of their envelopes
• C3-Modules
• A note on existence of envelopes and covers
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• Modules with ADS-(pre)envelopes and ADS-(pre)covers
• ON A CLASS OF SEMIPERFECT RINGS
• Modules which are invariant under nilpotents of their envelopes and covers
• The dual Schröder-Bernstein problem for modules
• Modules close to the automorphism-invariant and coinvariant
• D3-Modules
• Semihereditary rings
• Modules with chain conditions up to isomorphism

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