On a conjecture of Vukman
Let R be a ring A bi-additive symmetric mapping d:R×R→R is called a symmetric bi-derivation if, for any fixed y∈R, the mapping x→D(x,y) is a derivation. The purpose of this paper is to prove the following conjecture of Vukman.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000355 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558481094213632 |
|---|---|
| author | Qing Deng |
| author_facet | Qing Deng |
| author_sort | Qing Deng |
| collection | DOAJ |
| description | Let R be a ring A bi-additive symmetric mapping d:R×R→R is called a symmetric
bi-derivation if, for any fixed y∈R, the mapping x→D(x,y) is a derivation. The purpose of this paper
is to prove the following conjecture of Vukman. |
| format | Article |
| id | doaj-art-cf7baee96a844b9c909d0018fb471244 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cf7baee96a844b9c909d0018fb4712442025-02-03T01:32:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120226326610.1155/S0161171297000355On a conjecture of VukmanQing Deng0Department of Mathematics, Southwest China Normal University, Chongqing 630715, ChinaLet R be a ring A bi-additive symmetric mapping d:R×R→R is called a symmetric bi-derivation if, for any fixed y∈R, the mapping x→D(x,y) is a derivation. The purpose of this paper is to prove the following conjecture of Vukman.http://dx.doi.org/10.1155/S0161171297000355prime ringcentralizing mappingsymmetric bi-derivation. |
| spellingShingle | Qing Deng On a conjecture of Vukman International Journal of Mathematics and Mathematical Sciences prime ring centralizing mapping symmetric bi-derivation. |
| title | On a conjecture of Vukman |
| title_full | On a conjecture of Vukman |
| title_fullStr | On a conjecture of Vukman |
| title_full_unstemmed | On a conjecture of Vukman |
| title_short | On a conjecture of Vukman |
| title_sort | on a conjecture of vukman |
| topic | prime ring centralizing mapping symmetric bi-derivation. |
| url | http://dx.doi.org/10.1155/S0161171297000355 |
| work_keys_str_mv | AT qingdeng onaconjectureofvukman |