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Let R be a semiprime ring with τ an anti-endomorphism or endomorphism. It is proved that if τ satisfies an Engel condition [[…[[xτ,xn1],xn2]…],xnk]=0 for all x∈R, where n1,n2,…,nk are k fixed positive integers, then τ is a commuting map (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1feb82bd96ff867bd9df4aa92422c77
https://avesis.deu.edu.tr/publication/details/f40352c1-5c06-465d-ac3c-a781f45ef296/oai
https://avesis.deu.edu.tr/publication/details/f40352c1-5c06-465d-ac3c-a781f45ef296/oai
Autor:
Tsiu-Kwen Lee, Münevver Pınar Eroǧlu
Publikováno v:
Communications in Algebra. 45:4550-4556
Let R be a simple GPI-ring (i.e., a simple ring satisfying a nontrivial generalized polynomial identity) with a nonzero derivation delta and with Martindale symmetric ring of quotients Q. Motivated by the Noether-Skolem theorem, we characterize linea
Publikováno v:
Journal of Algebra and Its Applications. 18:1950181
Let [Formula: see text] be a division algebra over an infinite field [Formula: see text] such that every element of [Formula: see text] is a sum of finitely many algebraic elements. As a generalization of Asano’s theorem, it is proved that every no