dc.contributor.author | Gölbaşı,Öznur | |
dc.contributor.author | Bedir, Zeliha | |
dc.date.accessioned | 2022-05-13T10:25:25Z | |
dc.date.available | 2022-05-13T10:25:25Z | |
dc.date.issued | 2021 | tr |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/13012 | |
dc.description.abstract | Let R be a prime ring and I be a nonzero ideal of R. A mapping d : R → R is called a
multiplicative semiderivation if there exists a function g : R → R such that (i) d(xy) =
d(x)g(y)+xd(y) = d(x)y +g(x)d(y) and (ii) d(g(x)) = g(d(x)) hold for all x, y ∈ R. In the
present paper, we shall prove that [x, d(x)] = 0, for all x ∈ I if any of the followings holds:
i) d(xy) ± xy ∈ Z, ii) d(xy) ± yx ∈ Z, iii) d(x)d(y) ± xy ∈ Z, iv) d(xy) ± d(x)d(y) ∈ Z,
viii) d(xy) ± d(y)d(x) ∈ Z, for all x, y ∈ I. Also, we show that R must be commutative if
d(I) ⊆ Z. | tr |
dc.publisher | Hacettepe Journal of Mathematics & Statistics | tr |
dc.rights | info:eu-repo/semantics/openAccess | tr |
dc.title | Some identities involving multiplicative semiderivations on ideals | tr |
dc.type | article | tr |
dc.relation.journal | Hacettepe Journal of Mathematics & Statistics | tr |
dc.contributor.department | Fen Fakültesi | tr |
dc.contributor.authorID | 0000-0002-9338-6170 | tr |
dc.contributor.authorID | 0000-0002-4346-2331 | tr |
dc.relation.publicationcategory | Rapor | tr |