A characterization of \(n\)-cotilting and \(n\)-tilting modules.
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Publication:1427395
DOI10.1016/S0021-8693(03)00432-0zbMath1051.16007WikidataQ105710849 ScholiaQ105710849MaRDI QIDQ1427395
Publication date: 14 March 2004
Published in: Journal of Algebra (Search for Journal in Brave)
Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tilting modules of finite projective dimension
- Injective and flat covers, envelopes and resolvents
- Quasi-tilting modules and counter equivalences
- Tilting modules of finite projective dimension and a generalization of \(*\)-modules.
- Flat covers of modules
- Tilting modules and tilting torsion theories
- Infinitely generated tilting modules of finite projective dimension
- Tilting, cotilting, and serially tilted rings
- Partial cotilting modules and the lattices induced by them
- Filtering modules of finite projective dimension
- Tilting preenvelopes and cotilting precovers
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