[PDF][PDF] On the representation dimension of tilted and laura algebras
I Assem, MI Platzeck, SE Trepode - 2006 - ri.conicet.gov.ar
ON THE REPRESENTATION DIMENSION OF TILTED AND LAURA ALGEBRAS The chief
objective of the representation theory of artin algebras Page 1 ON THE REPRESENTATION …
objective of the representation theory of artin algebras Page 1 ON THE REPRESENTATION …
On the composite of two irreducible morphisms in radical cube
We study here when there are irreducible morphisms h: X→ Y and h′: Y→ Z between
indecomposable modules such that the composite h′ h is a non-zero morphism in R3 (X …
indecomposable modules such that the composite h′ h is a non-zero morphism in R3 (X …
Laura skew group algebras
We prove that if A is an artin algebra, G is a finite group acting on A such that| G| is invertible
in A, and R= A [G] b is a basic algebra associated with the skew group algebra, then A is left …
in A, and R= A [G] b is a basic algebra associated with the skew group algebra, then A is left …
[PDF][PDF] Left sections and the left part of an Artin algebra
I Assem - Colloq. Math, 2009 - usherbrooke.ca
Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …
On linearly oriented pullback and classes of algebras
Let R be the pullback of two surjective homomorphisms of algebras A→ B and C→ B. Here
we consider a particular class, the so-called linearly oriented pullback, where the injective …
we consider a particular class, the so-called linearly oriented pullback, where the injective …
Algebras determined by their supports
I Assem, D Castonguay, M Lanzilotta… - Journal of Pure and …, 2012 - Elsevier
In this paper, we introduce and study a class of algebras which we call ada algebras. An
artin algebra is ada if every indecomposable projective and every indecomposable injective …
artin algebra is ada if every indecomposable projective and every indecomposable injective …
Coverings of laura algebras: the standard case
I Assem, JC Bustamante, P Le Meur - Journal of Algebra, 2010 - Elsevier
In this paper, we study the covering theory of laura algebras. We prove that if a connected
laura algebra is standard (that is, has a standard connecting component), then it has Galois …
laura algebra is standard (that is, has a standard connecting component), then it has Galois …
On generalized standard Auslander–Reiten components having only finitely many non-directing modules
D Smith - Journal of Algebra, 2004 - Elsevier
Let Γ be a connected component of the Auslander–Reiten quiver Γ (modA) of an Artin
algebra. We show that Γ is quasi-directed if and only if the paths in indA, having end-points …
algebra. We show that Γ is quasi-directed if and only if the paths in indA, having end-points …
[HTML][HTML] Some characterisations of supported algebras
We give several equivalent characterisations of left (and hence, by duality, also of right)
supported algebras. These characterisations are in terms of properties of the left and the …
supported algebras. These characterisations are in terms of properties of the left and the …
Toupie algebra, some examples of laura algebras
D Castonguay, J Dionne, F Huard… - arXiv preprint arXiv …, 2010 - arxiv.org
arXiv:1011.5136v1 [math.RT] 23 Nov 2010 Page 1 arXiv:1011.5136v1 [math.RT] 23 Nov 2010
Toupie algebra, some examples of laura algebras Diane Castonguay, Julie Dionne, François …
Toupie algebra, some examples of laura algebras Diane Castonguay, Julie Dionne, François …