On the additive maps satisfying Skew-Engel conditions
عنوان مقاله: On the additive maps satisfying Skew-Engel conditions
شناسه ملی مقاله: JR_JART-5-2_005
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_JART-5-2_005
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
M. Nadeem - Department of Mathematics, Government College University, Lahore, Pakistan
M. Aslam - Department of Mathematics, Government College University, Lahore, Pakistan
Y. Ahmed - Department of Mathematics, Government College University, Lahore, Pakistan
خلاصه مقاله:
M. Nadeem - Department of Mathematics, Government College University, Lahore, Pakistan
M. Aslam - Department of Mathematics, Government College University, Lahore, Pakistan
Y. Ahmed - Department of Mathematics, Government College University, Lahore, Pakistan
Let R be a prime ring, I be any nonzero ideal of R and f:I\rightarrow R be an additivemap. Then skew-Engel condition \langle... \langle \langlef(x),x^{n_۱} \rangle,x^{n_۲} \rangle ,...,x^{n_k} \rangle=۰ implies that f (x)=۰ \forall\,x\in I provided ۲\neq char (R)>n_۱+n_۲+...+n_k, where n_۱,n_۲,...,n_k are natural numbers. This extends some existing results. In the end, we also generalise this result in the setting of MA-semirings.
کلمات کلیدی: Additive map, prime ring, semiprime ring, MA-semiring
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2030057/