Listar AGT - Artículos por tipo "info:eu-repo/semantics/acceptedVersion"
Mostrando ítems 1-6 de 6
-
A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
Brox-López, José Ramón; García, Esther; Gómez-Lozano, Miguel Ángel
; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Springer Nature, 2021-07)
In this paper, we study ad-nilpotent elements in Lie algebras arising from semiprime associative rings R free of 2-torsion. With the idea of keeping under control the torsion of R, we introduce a more restrictive notion ... -
A Jordan canonical form for nilpotent elements in an arbitrary ring.
García-González, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Elsevier, 2019)
In this paper we give an inductive new proof of the Jordan canonical form of a nilpotent element in an arbitrary ring. If is a nilpotent element of index n with von Neumann regular , we decompose with a Jordan ... -
Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution
Brox-López, José Ramón; García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Springer Nature, 2022-03)
In this paper, we study ad-nilpotent elements of semiprime rings R with involution * whose indices of ad-nilpotence differ on Skew(R,*) and R. The existence of such an ad-nilpotent element a implies the existence of a GPI ... -
Graph algebras and the Gelfand-Kirillov dimension.
Moreno-Fernández, José Manuel; Siles-Molina, Mercedes (World Scientific Publishing, 2018)
We study some properties of the Gelfand-Kirillov dimension in a non-necessarily unital context. In particular, its Morita invariance when the algebras have local units, and its commutativity with direct limits. We then ... -
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 speciality of Jordan algebras and subquotients of Lie algebras
García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José (Elsevier, 2020-09-01)
In this paper we study conditions on the own structure of the Lie algebras that imply the specialty of these Jordan algebras. Similar results are obtained when dealing with subquotients associated to abelian inner ideals