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    Listar por autor "Martín-Barquero, Dolores"

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    Mostrando ítems 1-18 de 18

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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 ...
      • Chains in evolution algebras 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga (ELSEVIER, 2021-08-01)
        In this work we approach three-dimensional evolution algebras from certain constructions performed on two-dimensional algebras. More precisely, we provide four different constructions producing three-dimensional evolution ...
      • Classification of leavitt path algebras with two vertices 

        Kanuni, Müge; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Siles-Molina, MercedesAutoridad Universidad de Málaga (Independent University of Moscow, 2019-07)
        We classify row-finite Leavitt path algebras associated to graphs with no more than two vertices. For the discussion we use the following invariants: decomposability, the K0 group, detpNE1 q (included in the Franks ...
      • Commutative algebras with one-dimensional square 

        Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Sánchez-Ortega, JuanaAutoridad Universidad de Málaga (Springer Nature, 2025-02-26)
        In this paper, we classify and study commutative algebras having a one-dimensional square. In finite dimension (see Theorem 3.9) besides some cases (which are all associative and nilpotent with nilpotency index 3), the ...
      • Connecting ideals in evolution algebras with hereditary subsets of its associated graph 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Tocino-Sánchez, AliciaAutoridad Universidad de Málaga (2023)
        In this article, we introduce a relation including ideals of an evo-lution algebra and hereditary subsets of vertices of its associated graph andestablish some properties among them. This relation allows us to determinemaximal ...
      • 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 ...
      • 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 simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras. 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Tocino-Sánchez, AliciaAutoridad Universidad de Málaga (Taylor & Francis, 2024-05-13)
        This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, inductive limit group, Zariski topology and the ...
      • 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 ...
      • Squares and associative representations of two dimensional evolution algebras 

        Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Siles-Molina, MercedesAutoridad Universidad de Málaga (World Scientific, 2021)
        We associate an square to any two dimensional evolution algebra. This geomet- ric object is uniquely determined, does not depend on the basis and describes the structure and the behaviour of the algebra. We determine the ...
      • Tensor Product of Evolution Algebras 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Tocino-Sánchez, AliciaAutoridad Universidad de Málaga (Springer Nature, 2022-12-28)
        The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ...
      • Tensor product of evolution algebras. 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Tocino-Sánchez, AliciaAutoridad Universidad de Málaga (SpringerLink, 2022-12-28)
        The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ...
      • Ternary mappings of triangular algebras 

        Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Sánchez-Ortega, JuanaAutoridad Universidad de Málaga; Vandeyar, Morgan (SpringerLink, Aequationes Mathematicae, 2021-03)
        We take acategorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied.
      • 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 ...
      • Two-dimensional perfect evolution algebras over domains 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga (SpringerLink, 2023-01)
        We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule ...
      • Two-dimensional perfect evolution algebras over domains. 

        Cabrera-Casado, YolandaAutoridad Universidad de Málaga; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga (Springer Nature, 2023-01-23)
        We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule ...
      • Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra 

        Clark, Lisa Orloff; Martín-Barquero, DoloresAutoridad Universidad de Málaga; Martín-González, CándidoAutoridad Universidad de Málaga; Siles-Molina, MercedesAutoridad Universidad de Málaga (Springer, 2019-04)
        Given an arbitrary graph, we describe the center of its Leavitt path algebra over a commutative unital ring. Our proof uses the Steinberg algebra model of the Leavitt path algebra. A key ingredient is a characterization ...
        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA
        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA
         

         

        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA
        REPOSITORIO INSTITUCIONAL UNIVERSIDAD DE MÁLAGA