[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 …

On the composite of two irreducible morphisms in radical cube

C Chaio, FU Coelho, S Trepode - Journal of Algebra, 2007 - Elsevier
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 …

Laura skew group algebras

I Assem, M Lanzilotta, MJ Redondo - Communications in Algebra®, 2007 - Taylor & Francis
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 …

[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 …

On linearly oriented pullback and classes of algebras

FU Coelho, H Wagner - Algebras and Representation Theory, 2020 - Springer
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 …

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 …

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 …

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 …

[HTML][HTML] Some characterisations of supported algebras

I Assem, JÁ Cappa, MI Platzeck, S Trepode - Journal of Pure and Applied …, 2007 - Elsevier
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 …

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 …