- RIUMA Principal
- Listar por autor
Listar por autor "Gil-Canto, Cristóbal"
Mostrando ítems 1-9 de 9
-
Invariant ideals in Leavitt path algebras.
Gil-Canto, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido; Martín-González (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, Cristóbal; Kanuni, Müge; Siles-Molina, Mercedes (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, Cristóbal (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, 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 ... -
On the structure of Leavitt path algebras and Kumjian-Pask algebras.
Gil-Canto, Cristóbal (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, Cristóbal; 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 ... -
The commutative core of a Leavitt path algebra.
Gil-Canto, Cristóbal; 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, Cristóbal; 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, Cristóbal; 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 ...