Resolvents and dimensions of modules and rings

DOI10.1007/BF01246767zbMath0694.16012MaRDI QIDQ909001

Overtoun M. G. Jenda, Edgar E. Enochs

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

projective resolutionsleft coherent ringsinjective resolutionsfinitely presented modulescosyzygiesweak global dimensionflat resolventsinjective resolventsleft and right injective dimensionsleft and right noetherian ringright global dimension

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (12)

FI-injective and FI-flat modules. ⋮ FGT-injective dimensions of \(\Pi\)-coherent rings and almost excellent extension. ⋮ On the exactness of flat resolvents ⋮ Resolutions by gorenstein injective andprojective modules and modules of finite injective dimension overgorenstein rings ⋮ On copure flat modules and flat resolvents ⋮ A note on existence of envelopes and covers ⋮ Weak Global Dimension of Coherent Rings ⋮ On Strongly Copure Flat Modules and Copure Flat Dimensions ⋮ Relative Projective Modules and Relative Injective Modules ⋮ Relative Flatness, Mittag–Leffler Modules, and Endocoherence ⋮ On gorenstein injective modules ⋮ Relative coherence and preenvelopes

Cites Work

• Balanced functors applied to modules
• On Gorenstein rings
• Injective and flat covers, envelopes and resolvents
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• INJECTIVE RESOLVENTS AND PREENVELOPES
• Injective Dimension in Noetherian Rings
• Coherent Rings and Fp -Injective Modules

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