dc.creator | Behn A. | |
dc.creator | Correa I. | |
dc.creator | Gutierrez Fernandez J.C. | |
dc.creator | Garcia C.I. | |
dc.date.accessioned | 2024-01-10T13:44:38Z | |
dc.date.accessioned | 2024-05-02T15:39:27Z | |
dc.date.available | 2024-01-10T13:44:38Z | |
dc.date.available | 2024-05-02T15:39:27Z | |
dc.date.created | 2024-01-10T13:44:38Z | |
dc.date.issued | 2021 | |
dc.identifier | 10.1080/00927872.2021.1903024 | |
dc.identifier | 15324125 | |
dc.identifier | 15324125 00927872 | |
dc.identifier | SCOPUS_ID:85104078894 | |
dc.identifier | https://doi.org/10.1080/00927872.2021.1903024 | |
dc.identifier | https://repositorio.uc.cl/handle/11534/78927 | |
dc.identifier | WOS:000638562000001 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/9265048 | |
dc.description.abstract | © 2021 Taylor & Francis Group, LLC.A classical problem in nonassociative algebras involves the existence of simple finite-dimensional commutative nilalgebras. In this paper, we study the class Ω of nonassociative algebras satisfying the identity (Formula presented.) over a field of characteristic different from 2 and 3. We show that every unitary algebra in Ω is associative. Next, we prove that each prime algebra in Ω is either associative or its center vanishes. For nilalgebras, we obtain that every nilalgebra in Ω is an Engel algebra. Finally, we show that every commutative nilalgebra in Ω of nilindex 4 over a field of characteristic not 2, 3 and 5 is solvable of index (Formula presented.). | |
dc.language | en | |
dc.publisher | Bellwether Publishing, Ltd. | |
dc.rights | registro bibliográfico | |
dc.subject | Albert’s problem | |
dc.subject | commutative algebras | |
dc.subject | finite-dimensional algebras | |
dc.subject | PI-algebras | |
dc.title | About nilalgebras satisfying (xy)2 = x 2 y 2 | |
dc.type | artículo | |