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Algèbres auto-injectives de représentation finie

Pierre Gabriel (1979/1980)

Séminaire Bourbaki

Algèbres de Bass et extensions de Ore itérées.

Marie-Paule Malliavin (1994)

Collectanea Mathematica

We show that some iterated Ore extensions have the same behaviour with respect to injective resolutions as Gorenstein commutative rings.

Almost smooth algebras

Alfredo R. Grandjean, Maria J. Vale (1991)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Almost split sequences for non-regular modules

S. Liu (1993)

Fundamenta Mathematicae

Let A be an Artin algebra and let $0 \to X \to \oplus_{i = 1}^{r} Y_{i} \to Z \to 0$ be an almost split sequence of A-modules with the $Y_{i}$ indecomposable. Suppose that X has a projective predecessor and Z has an injective successor in the Auslander-Reiten quiver $Γ_{A}$ of A. Then r ≤ 4, and r = 4 implies that one of the $Y_{i}$ is projective-injective. Moreover, if $X \to \oplus_{j = 1}^{t} Y_{j}$ is a source map with the $Y_{j}$ indecomposable and X on an oriented cycle in $Γ_{A}$ , then t ≤ 4 and at most three of the $Y_{j}$ are not projective. The dual statement for a sink map holds. Finally, if an arrow...

Displaying 21 – 27 of 27

Algèbres auto-injectives de représentation finie

Algèbres de Bass et extensions de Ore itérées.

Almost smooth algebras

Almost split sequences for non-regular modules

Anneaux biréguliers auto-injectifs à droite

Anneaux réguliers auto-injectifs à droite

Anneaux semi-artiniens non commutatifs

Currently displaying 21 – 27 of 27