10 citations · 24 across the 6 of their papers we have counts for
12 papers
On the Morita Reduced Versions of Skew Group Algebras of Path Algebras
Patrick Le Meur
Let R be the skew group algebra of a finite group acting on the path algebra of a quiver. This article develops both theoretical and practical methods to do computations in the Mor…
Duality for Differential Operators of Lie-Rinehart Algebras
Thierry Lambre, Patrick Le Meur
Let (S,L) be a Lie-Rinehart algebra over a commutative ring R. This article proves that, if S is flat as an R-module and has Van den Bergh duality in dimension n, and if L is finit…
Degrees of Irreducible Morphisms over Perfect Fields
Claudia Chaio, Patrick Le Meur, Sonia Trepode
The module category of any artin algebra is filtered by the powers of its radical, thus defining an associated graded category. As an extension of the degree of irreducible morphis…
Representation theory of partial relation extensions
Ibrahim Assem, Juan Carlos Bustamante, Julie Dionne +2
Let C be a finite dimensional algebra of global dimension at most two. A partial relation extension is any trivial extension of C by a direct summand of its relation C-C-bimodule.…
Smash Products of Calabi-Yau Algebras by Hopf Algebras
Patrick Le Meur
Let H be a Hopf algebra and A be an H-module algebra. This article investigates when the smash product A#H is (skew) Calabi-Yau, has Van den Bergh duality or is Artin-Schelter regu…
The strong global dimension of piecewise hereditary algebras
Edson Ribeiro Alvares, Patrick Le Meur, Eduardo N. Marcos
Let T be a tilting object in a triangulated category equivalent to the bounded derived category of a hereditary abelian category with finite dimensional homomorphism spaces and spl…