RT Journal Article
T1 Representations of relative Cohn path algebras.
A1 Gil-Canto, Cristóbal
A1 Gonçalves, Daniel
K1 Geometría algebraica
K1 Álgebra
K1 Anillos (Álgebra)
AB We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we realize them as partial skew group rings. To do this we prove uniqueness theorems for relative Cohn path algebras. Furthermore, given any graph E we define E-relative branching systems and prove how they induce representations of the associated relative Cohn path algebra. We give necessary and sufficient conditions for faithfulness of the representations associated to E-relative branching systems. Thisimproves previous results known to Leavitt path algebras of row-finite graphs with no sinks. To prove this last result we show first a version, for relative Cohn-path algebras, of the reduction theorem for Leavitt path algebras.
PB Elsevier
YR 2020
FD 2020-01-07
LK https://hdl.handle.net/10630/30585
UL https://hdl.handle.net/10630/30585
LA eng
NO Cristóbal Gil Canto, Daniel Gonçalves, Representations of relative Cohn path algebras, Journal of Pure and Applied Algebra, Volume 224, Issue 7, 2020, 106310, ISSN 0022-4049, https://doi.org/10.1016/j.jpaa.2020.106310
NO Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/11436
NO The  first author was partially supported by the Spanish MEC and Fondos FEDER through project MTM2016-76327-C3-1-P; and by the Junta de Andalucía and Fondos FEDER, jointly, through project FQM-7156.The second author was partially supported by Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) - Brazil.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026