49 citations · 93 across the 25 of their papers we have counts for
29 papers · 1 filter
A note on sequential walks
Ibrahim Assem, María Julia Redondo, Ralf Schiffler
This short note is devoted to motivate and clarify the notion of sequential walk introduced by the authors in a previous work. We also give some applications of this concept.
From the potential to the first Hochschild cohomology group of a cluster tilted algebra
Ibrahim Assem, Juan Carlos Bustamante, Sonia Trepode +1
The objective of this paper is to give a concrete interpretation of the dimension of the first Hochschild cohomology space of a cyclically oriented or tame cluster tilted algebra i…
Hochschild cohomology of partial relation extensions
Ibrahim Assem, Maria Andrea Gatica, Ralf Schiffler
We show how to compute the low Hochschild cohomology groups of a partial relation extension algebra.
Invariance of representation dimension under socle equivalence of selfinjective algebras
Ibrahim Assem, Andrzej Skowronski, Sonia Trepode
We prove that the representation dimension of finite dimensional selfinjective algebras over a field is invariant under socle equivalence and derive some consequences.
Split -structures and torsion pairs in hereditary categories
Ibrahim Assem, María José Souto Salorio, Sonia Trepode
We give necessary and sufficient conditions for torsion pairs in a hereditary category to be in bijection with -structures in the bounded derived category of that hereditary cat…
The Representation Dimension of a Selfinjective Algebra of Wild Tilted Type
Ibrahim Assem, Andrzej Skowronski, Sonia Trepode
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its modu…