scientific article; zbMATH DE number 3627356

zbMath0404.16007MaRDI QIDQ4189391

Maurice Auslander

Publication date: 1978

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Projective CoverInjective EnvelopeAlmost Split Sequences of Artin AlgebrasArtin Algebras of Finite Representation TypeArtin Algebras of Infinite Representation TypeBrauer-Thrall 1 1/2:Indecomposable Artin AlgebrasIndecomposable ModuleMorphisms Determined By ModulesNonsplit Exact SequenceSecond Brauer-Thrall Conjecturethe Category of Finitely Generated Modules over An Artin Algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (18)

Derived equivalences of functor categories ⋮ Semi-tilting modules and mutation. ⋮ Morphisms determined by objects under Galois \(G\)-covering theory ⋮ Orders of bounded and strongly unbounded lattice type ⋮ On the existence of recollements of functor categories ⋮ Representation theory of graded Artin algebras ⋮ Tilted Algebras ⋮ The Auslander-Reiten components seen as quasi-hereditary categories ⋮ A bijection triangle in extriangulated categories ⋮ Minimal right determiners of irreducible morphisms in algebras of type \(\mathbb{A}_n\) ⋮ A note on morphisms determined by objects ⋮ Periodic modules over weakly symmetric algebras ⋮ Tilting theory and functor categories. I: Classical tilting. ⋮ Minimal right determiners of irreducible morphisms in tree string algebras ⋮ On tame strongly simply connected algebras ⋮ Representation-finite trivial extension algebras ⋮ Morphisms Determined by Objects in Triangulated Categories ⋮ Schurian sp-representation-finite right peak PI-rings and their indecomposable socle projective modules

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