On rings whose finitely generated flat submodules of free modules are finitely presented

MaRDI QIDQ6622136

Mouhssine El-Arabi, Youssef Najem, Samir Bouchiba

Publication date: 22 October 2024

Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)

zbMATH Keywords

little finitistic dimensionfinitistic flat dimension\(\mathcal{F}_1\)-flat module\(\mathcal{F}_1^{\mathrm{fp}}\)-coherent ring\(\mathcal{F}_1^{\mathrm{fp}}\)-flat module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Cites Work

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• Commutative semi-coherent and semi-regular rings
• Flat covers of modules
• Relative homological algebra
• Cotorsion pairs generated by modules of bounded projective dimension.
• Direct Products of Modules
• Flat and Projective Character Modules
• Onn-Coherent rings

Related Items (2)

On purity with respect to modules of flat dimension at most one ⋮ Semireversibility of rings with involution

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