Complements to Projective Almost Complete Tilting Modules

DOI10.1081/AGB-200066195zbMath1106.16013MaRDI QIDQ5704493

Francesca Mantese

Publication date: 15 November 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

simple modulesmonomial algebrasArtin algebrasfinitistic dimensiongeneralized Nakayama conjecturealmost complete tilting modulesnumbers of complements

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10)

Related Items (3)

Tilting theory: a gift of representation theory to mathematics ⋮ On partial tilting modules and bounded complexes. ⋮ On partial tilting modules and right bounded complexes.

Cites Work

• Predicting syzygies over monomial relations algebras
• Finitistic dimensions of finite dimensional monomial algebras
• Tilting modules of finite projective dimension
• Covering spaces in representation-theory
• Homological domino effects and the first finitistic dimension conjecture
• Complements to partial tilting modules
• Relative homology and representation theory III

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