FGT-injective dimensions of \(\Pi\)-coherent rings and almost excellent extension.

DOI10.1007/s12044-010-0025-0zbMath1218.16003OpenAlexW2027960915WikidataQ114221446 ScholiaQ114221446MaRDI QIDQ601183

Yueming Xiang

Publication date: 3 November 2010

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-010-0025-0

zbMATH Keywords

syzygiesflat modulesexact sequencesinjective dimensioninjective modulescoherent ringshomological dimensionsresolutionscosyzygiesalmost excellent extensions

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) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Centralizing and normalizing extensions (16S20)

Cites Work

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• Coherence for polynomial rings
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• \(\Pi\)-coherent rings and FGT-injective dimension
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• On envelopes with the unique mapping property
• ∏-COHERENT DIMENSIONS AND ∏-COHERENT RINGS
• Weak Global Dimension of Coherent Rings

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