Dergi makalesi Açık Erişim
Aydin, Neset; Turkmen, Selin
{ "@context": "https://schema.org/", "@id": 52043, "@type": "ScholarlyArticle", "creator": [ { "@type": "Person", "affiliation": "Canakkale Onsekiz Mart Univ, Dept Math, TR-17020 Canakkale, Turkey", "name": "Aydin, Neset" }, { "@type": "Person", "affiliation": "Canakkale Onsekiz Mart Univ, Lapseki Vocat Sch, TR-17800 Canakkale, Turkey", "name": "Turkmen, Selin" } ], "datePublished": "2017-01-01", "description": "In this paper, we define a set including of all f(a) with a is an element of R generalized derivations of R and is denoted by f(R). It is proved that (i) the mapping g : L (R) -> f(R) given by g (a) = f(-a) for all a is an element of R is a Lie epimorphism with kernel N-sigma,N-tau; (ii) if R is a semiprime ring and sigma is an epimorphism of R, the mapping h : f(R) -> I (R) given by h(f(a)) = i(sigma)(-a) is a Lie epimorphism with kernel 1 (f(R)); (iii) if f(R) is a prime Lie ring and A, B are Lie ideals of R, then [f(A), f(B)] = (0) implies that either f(A) = (0) or f(B) = (0).", "headline": "ON A LIE RING OF GENERALIZED INNER DERIVATIONS", "identifier": 52043, "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", "license": "http://www.opendefinition.org/licenses/cc-by", "name": "ON A LIE RING OF GENERALIZED INNER DERIVATIONS", "url": "https://aperta.ulakbim.gov.tr/record/52043" }
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