Tilting modules over split-by-nilpotent extensions

DOI10.1080/00927879808826219zbMath0915.16007OpenAlexW2006494391MaRDI QIDQ4395745

Nikolaos Marmaridis, Ibrahim Assem

Publication date: 5 July 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826219

zbMATH Keywords

finite dimensional algebrassplit extensionstrivial extensionssplit-by-nilpotent extensionsextending tilting modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of quivers and partially ordered sets (16G20)

Related Items

Tilting pair over split-by-nilpotent extensions, Some new criteria for small Igusa-Todorov algebras, Split-by-nilpotent extensions and support \(\tau\)-tilting modules, Tilting modules under special base changes, Extensions of rings and tilting complexes, \(n\)-star modules over ring extensions., Silting modules over triangular matrix rings, The ascent-descent property for \(2\)-term silting complexes, Projective dimensions and extensions of modules from tilted to cluster-tilted algebras, Support $\tau $-tilting modules under split-by-nilpotent extensions, *- Modules over ring extensions, Semibricks over split-by-nilpotent extensions, THE BOUND QUIVER OF A SPLIT EXTENSION, Cyclic homology of cleft extensions of algebras, Almost laura algebras., Strongly simply connected Schurian algebras and multiplicative bases., Short proof of a conjecture concerning split-by-nilpotent extensions, Induced and coinduced modules over cluster-tilted algebras, τ-Rigid modules from tilted to cluster-tilted algebras, Generalized tilting modules over ring extension, BONGARTZ τ-COMPLEMENTS OVER SPLIT-BY-NILPOTENT EXTENSIONS, Wakamatsu tilting modules over ring extension, Split-By-Nilpotent Extensions Algebras and Stratifying Systems, Lectures on split-by-nilpotent extensions, Maximal subalgebras of finite-dimensional algebras, The dual transpose over an Artin algebra \(\Lambda\) and over a factor \(\Lambda/\mathfrak A\) of \(\Lambda\).

Cites Work

• Tame algebras and integral quadratic forms
• Extensions of tilting functors and QF-3 algebras
• On extensions of abelian categories with applications to ring theory
• Extensions of rings and tilting complexes
• Tilting modules over trivial extensions of artin algebras
• Unnamed Item