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Representations of relative Cohn path algebras. Gil-Canto, Cristóbal Gonçalves, Daniel Geometría algebraica Álgebra Anillos (Álgebra) Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/11436 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. This improves 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. 2024-02-21T13:31:51Z 2024-02-21T13:31:51Z 2020-01-07 journal article 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 https://hdl.handle.net/10630/30585 10.1016/j.jpaa.2020.106310 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier