University of GuilanJournal of Algebra and Related Topics2345-39315220171201On the additive maps satisfying Skew-Engel conditions4758271510.22124/jart.2017.2715ENM.NadeemDepartment of
Mathematics, Government College University, Lahore, PakistanM.AslamDepartment of
Mathematics, Government College University, Lahore, PakistanY.AhmedDepartment of
Mathematics, Government College University, Lahore, PakistanJournal Article20170929Let $R$ be a prime ring, $I$ be any nonzero ideal of $R$ and $f:I\rightarrow R$ be an additive<br />map. Then skew-Engel condition $\langle... \langle \langle$<br />$f(x),x^{n_1} \rangle,x^{n_2} \rangle ,...,x^{n_k} \rangle=0$ implies that $f (x)=0$ $\forall\,x\in I$ provided $2\neq$ char $(R)>n_1+n_2+...+n_k, $ where $n_1,n_2,...,n_k$ are natural numbers.<br /> This extends some existing results. In the end, we also generalise this result in the setting of MA-semirings.https://jart.guilan.ac.ir/article_2715_db25ae4c151c5a154173eaca9ba7e7fa.pdf