[PDF][PDF] ON AUSLANDER-REITEN COMPONENTS OF STRING AND BAND COMPLEXES FOR A CLASS OF SYMMETRIC SPECIAL BISERIAL ALGEBRAS

HA GIRALDO, R RUEDA-ROBAYO… - arXiv preprint arXiv …, 2020 - researchgate.net
Let k be an algebraically closed field. In this article we introduced the class of special
biserial k-algebras that are of Boundarenko's type, which contains that of gentle algebras. In …

On Auslander–Reiten components of string complexes for a certain class of symmetric special biserial algebras

H Giraldo, R Rueda-Robayo… - Beiträge zur Algebra und …, 2022 - Springer
Let kk be an algebraically closed field. In this article, inspired by the description of
indecomposable objects in the derived category of a gentle algebra obtained by Bekkert and …

Universal deformation rings of strings modules over a certain symmetric special biserial algebra

JA Vélez-Marulanda - Beiträge zur Algebra und Geometrie/Contributions to …, 2015 - Springer
Let kk be an algebraically closed field, let Λ Λ be a finite dimensional k k-algebra and let VV
be a Λ Λ-module whose stable endomorphism ring is isomorphic to k k. If Λ Λ is self-injective …

Universal deformation rings of string modules over certain class of self-injective special biserial algebras

Y Calderón-Henao, H Giraldo… - Communications in …, 2019 - Taylor & Francis
We determine the universal deformation rings of string Λ m. N-modules whose
corresponding stable endomorphism ring is isomorphic to k, and which lie either in a …

Exceptional cycles for perfect complexes over gentle algebras

P Guo, P Zhang - Journal of Algebra, 2021 - Elsevier
Exceptional cycles in a triangulated category T with Serre duality, introduced by N.
Broomhead, D. Pauksztello, and D. Ploog, have a notable impact on the global structure of …

Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras

Z Pogorzały, M Sufranek - Colloquium Mathematicum, 2004 - infona.pl
Starting and ending components of the Auslander-Reiten quivers of a class of special biserial
algebras × Close The Infona portal uses cookies, ie strings of text saved by a browser on the …

Tame generalized canonical algebras

Z Leszczyński, A Skowroński - Journal of Algebra, 2004 - Elsevier
Recently, a new wide class of finite-dimensional algebras whose Auslander–Reiten quivers
admit infinite families of faithful standard stable tubes, called generalized canonical …

The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander–Reiten components

P Malicki - Algebras and Representation Theory, 2022 - Springer
We study the strong simple connectedness of finite-dimensional tame algebras over an
algebraically closed field, for which the Auslander–Reiten quiver admits a separating family …

[PDF][PDF] The composite of irreducible morphisms in regular components

C Chaio, MI Platzeck, S Trepode - Colloquium Mathematicum, 2011 - academia.edu
We study when the composite of n irreducible morphisms between modules in a regular
component of the Auslander–Reiten quiver is non-zero and lies in the n+ 1-th power of the …

The Simple Connectedness of Tame Algebras with Separating Almost Cyclic Coherent Auslander–Reiten Components

P Malicki - Algebras and Representation Theory, 2022 - Springer
We study the simple connectedness of the class of finite-dimensional algebras over an
algebraically closed field for which the Auslander–Reiten quiver admits a separating family …