Extensions over hereditary Artinian rings with self-dualities. I

DOI10.1016/0021-8693(81)90329-XzbMath0471.16022MaRDI QIDQ1157387

Yamagata, Kunio

Publication date: 1981

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

zbMATH Keywords

finite representation typealmost split sequencesirreducible morphismssyzygy moduletrivial extensionquasi-Frobenius ringshereditary Artin algebrasfinitely generated indecomposable modulesArtinian ring with self-duality

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (17)

Extensions of tilting functors and QF-3 algebras ⋮ COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS ⋮ Representations of non-splittable extension algebras ⋮ Cluster categories and duplicated algebras. ⋮ τ-tilting modules over trivial extensions ⋮ *- Modules over ring extensions ⋮ On selfinjective algebras of finite representation type with maximal almost split sequences. ⋮ Generating relations for Grothendieck groups of trivial extension algebras. ⋮ Symmetric Hochschild extension algebras and normalized 2-cocycles ⋮ \(m\)-cluster categories and \(m\)-replicated algebras. ⋮ Stable equivalence of selfinjective Artin algebras of Dynkin type. ⋮ \(d\)-representation-finite self-injective algebras ⋮ An application of a theorem of Sheila Brenner for Hochschild extension algebras of a truncated quiver algebra ⋮ Galois coverings of selfinjective algebras by repetitive algebras ⋮ Representation-finite trivial extension algebras ⋮ Symmetry criteria for Hochschild extensions ⋮ The dual transpose over an Artin algebra \(\Lambda\) and over a factor \(\Lambda/\mathfrak A\) of \(\Lambda\).

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