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    Listar por autor "Gil-Canto, Cristóbal"

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    Mostrando ítems 1-13 de 13

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      • Algebraic entropy of path algebras and Leavitt path algebras of finite graphs. 

        Bock, Wolfgang; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Ruiz Campos, Iván; Sebandal, Alfilgen[et al.] (Springer Nature, 2024)
        The Gelfand–Kirillov dimension is a well established quantity to classify the growth of infinite dimensional algebras. In this article we introduce the algebraic entropy for path algebras. For the path algebras, Leavitt ...
      • Invariant ideals in Leavitt path algebras. 

        Gil-Canto, CristóbalAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga (Universitat Autònoma de Barcelona, Departament de Matemàtiques. Revista: Publications Matematiques, 2020-06-23)
        It is known that the ideals of a Leavitt path algebra LK (E) generated by Pl(E), by Pc(E) or by Pec(E) are invariant under isomorphism. Though the ideal generated by Pb∞ (E) is not invariant we find its “natural” replacement ...
      • Largest ideals in Leavitt path algebras. 

        Cam, Vural; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Kanuni, Müge; Siles-Molina, MercedesAutoridad Universidad de Málaga (Springer Nature, 2020-02-22)
        We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, ...
      • Leavitt path algebras of Cayley graphs C_n^j. 

        Abrams, Gene; Erickson, Stefan; Gil-Canto, CristóbalAutoridad Universidad de Málaga (Springer Nature, 2018-09-15)
        Let n be a positive integer. For each 0 <= j <= n-1 we let C_n^j denote the Cayley graph of the cyclic group Zn with respect to the subset {1,j}. Utilizing the Smith Normal Form process, we give an explicit description of ...
      • On isomorphism conditions for algebra functors with applications to Leavitt Path Algebras 

        Gil-Canto, CristóbalAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Ruiz Campos, Iván (SpringerLink, 2023-07)
        We introduce certain functors from the category of commu- tative rings (and related categories) to that of Z-algebras (not neces- sarily associative or commutative). One of the motivating examples is the Leavitt path ...
      • On the structure of Leavitt path algebras and Kumjian-Pask algebras. 

        Gil-Canto, CristóbalAutoridad Universidad de Málaga (UMA Editorial, 2017-01-15)
        Esta tesis doctoral pretende continuar y avanzar en el conocimiento de las álgebras de caminos de Leavitt. Para un grafo dirigido E, el álgebra de caminos de Leavitt L(E) es el análogo algebraico de la C*-álgebra de ...
      • Representations of relative Cohn path algebras. 

        Gil-Canto, CristóbalAutoridad Universidad de Málaga; Gonçalves, Daniel (Elsevier, 2020-01-07)
        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 ...
      • Simultaneous orthogonalization of inner products in infinite-dimensional vector spaces 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga (Taylor and Francis, 2025)
        For an arbitrary field K and a family of inner products in a K-vector space V of arbitrary dimension, we study necessary and sufficient conditions in order to have a basis which is orthogonal relative to all the inner ...
      • Simultaneous orthogonalization of inner products over arbitrary fields. 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga (Springer, 2023)
        We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space V over an arbitrary field K to have an orthogonal basis relative to all the inner products. Some applications ...
      • The algebraic entropies of the Leavitt path algebra and the graph algebra agree. 

        Martín-Barquero, DoloresAutoridad Universidad de Málaga; Bock, Wolfgang; Ruiz Campos, Iván; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Sebandal, Alfilgen[et al.] (Springer Nature, 2024-10-24)
        In this note we prove that the algebras L_K(E) and KE have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The main argument leans on (1) the holomorphic ...
      • The commutative core of a Leavitt path algebra. 

        Gil-Canto, CristóbalAutoridad Universidad de Málaga; Nasr-Isfahani, Alireza (Elsevier, 2018-06-30)
        For any unital commutative ring R and for any graph E, we identify the commutative core of the Leavitt path algebra of E with coefficients in R, which is a maximal commutative subalgebra of the Leavitt path algebra. ...
      • The cycline subalgebra of a Kumjian-Pask algebra. 

        Clark, Lisa Orloff; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Nasr-Isfahani, Alireza (American Mathematical Society, 2016-11-21)
        Let $\Lambda$ be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra $\mathcal{M}$ inside the Kumjian-Pask algebra ${\rm KP}_R(\Lambda)$. We also prove a generalized Cuntz-Krieger ...
      • The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets. 

        Bagio, Dirceu; Gil-Canto, CristóbalAutoridad Universidad de Málaga; Gonçalves, Daniel; Royer, Danilo (Springer, 2024-02-21)
        Let R be a commutative unital ring, X a subshift, and A_R(X) the corresponding unital subshift algebra. We establish the reduction theorem for A_R(X). As a consequence, we obtain a Cuntz-Krieger uniqueness theorem for ...
        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA
        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA
         

         

        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA
        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA