Listar por autor "Sebandal, Alfilgen"
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 ... -
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 ... -
The Talented monoid of a graph and its connections with the Leavitt path algebra
(2022)In this talk, we introduce an algebraic entity arising from a directed graph - the talented monoid. The talented monoid has an interesting relationship with the Leavitt path algebra. In fact, the group completion of the ...