Listar Álgebra, Geometría y Topología - (AGT) por autor "Martin-Barquero, Dolores"
Mostrando ítems 1-10 de 10
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Classification of leavitt path algebras with two vertices
Kanuni, Müge; Martín-Barquero, Dolores
; Martín-González, Cándido; Siles-Molina, Mercedes (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 ... -
Invariant ideals in Leavitt path algebras.
Gil-Canto, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido (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, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido; 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 ... -
Squares and associative representations of two dimensional evolution algebras
Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (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, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (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, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (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, Dolores; Martín-González, Cándido; Sánchez-Ortega, Juana; 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. -
Two-dimensional perfect evolution algebras over domains
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido (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, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido (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, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (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 ...