On a generalized identity of a prime ring involving b?generalized derivations

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dc.contributor.authorBaydar Yarbil, Nihan
dc.date.accessioned2024-07-12T20:49:06Z
dc.date.available2024-07-12T20:49:06Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn recent years many effective results regarding semiprime rings obtained by a number of authors. The main purpose when treating an additive map is to describe the form of the map or the structure of the ring. Recently, [2] Kosan and Lee propose a new definition: Definition 1. Let d : R ? Q be an additive map and b ? Q. An additive map F : R ? Q is called a left b?generalized derivation with associated mapping d, if F(xy) = F(x)y + bxd(y) for all x, y ? R. In the light of this definition, the main results obtained by a number of authors is stated. Let R be a prime ring and L be a noncommutative Lie ideal of R, let F be a left b?generalized derivation associated with the map d. Supposing that a is a fixed element of R such that aF(x) n = 0 for all x ? L where n is a fixed positive integer, under some assumptions on the ring, the characterization of the maps is being treated.en_US
dc.identifier.citationBaydar Yarbil, N. (2019). On a generalized identity of a prime ring involving b?generalized derivations. International Conference of Mathematical Sciences (ICMS 2019). s. 209.en_US
dc.identifier.endpage210en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage209en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2117
dc.institutionauthorBaydar Yarbil, Nihan
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01480
dc.subjectPrime ringen_US
dc.subject(b?)generalized derivationen_US
dc.subjectMartindale quotient ringen_US
dc.subjectGeneralized polynomial identityen_US
dc.titleOn a generalized identity of a prime ring involving b?generalized derivationsen_US
dc.typeArticle
dspace.entity.typePublication

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