On some equations related to derivations in rings
Let m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring with identity element. Suppose there exists an additive mapping D:R→R, such that D(xm+n+1)=(m+n+1)xmD(x)xn is fulfilled for all x∈R, then D is a derivation which maps R into its center.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2703 |
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| _version_ | 1849306357410299904 |
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| author | Joso Vukman Irena Kosi-Ulbl |
| author_facet | Joso Vukman Irena Kosi-Ulbl |
| author_sort | Joso Vukman |
| collection | DOAJ |
| description | Let m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring with identity element. Suppose there exists an additive mapping D:R→R, such that D(xm+n+1)=(m+n+1)xmD(x)xn is fulfilled for all x∈R, then D is a derivation which maps R into its center. |
| format | Article |
| id | doaj-art-2ed26e41cb2341d5b9a1302a2840c40e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2ed26e41cb2341d5b9a1302a2840c40e2025-08-20T03:55:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005172703271010.1155/IJMMS.2005.2703On some equations related to derivations in ringsJoso Vukman0Irena Kosi-Ulbl1Department of Mathematics, Faculty of Education (PEF), University of Maribor, Koroška 160, Maribor 2000, SloveniaDepartment of Mathematics, Faculty of Education (PEF), University of Maribor, Koroška 160, Maribor 2000, SloveniaLet m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring with identity element. Suppose there exists an additive mapping D:R→R, such that D(xm+n+1)=(m+n+1)xmD(x)xn is fulfilled for all x∈R, then D is a derivation which maps R into its center.http://dx.doi.org/10.1155/IJMMS.2005.2703 |
| spellingShingle | Joso Vukman Irena Kosi-Ulbl On some equations related to derivations in rings International Journal of Mathematics and Mathematical Sciences |
| title | On some equations related to derivations in rings |
| title_full | On some equations related to derivations in rings |
| title_fullStr | On some equations related to derivations in rings |
| title_full_unstemmed | On some equations related to derivations in rings |
| title_short | On some equations related to derivations in rings |
| title_sort | on some equations related to derivations in rings |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2703 |
| work_keys_str_mv | AT josovukman onsomeequationsrelatedtoderivationsinrings AT irenakosiulbl onsomeequationsrelatedtoderivationsinrings |