Listar por autor "Ruiz Campos, Iván"
Mostrando ítems 1-3 de 3
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Algebraic entropy of path algebras and Leavitt path algebras of finite graphs.
Bock, Wolfgang; Gil-Canto, Cristóbal
; Martín-Barquero, Dolores; Martín-González, Cándido; 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 ... -
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 ... -
The algebraic entropies of the Leavitt path algebra and the graph algebra agree.
Martín-Barquero, Dolores; Bock, Wolfgang; Ruiz Campos, Iván; Gil-Canto, Cristóbal; Martín-González, Cándido; 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 ...