TY - JOUR
AU - Sandhu, G.S.
AU - Kumar, D.
PY - 2019/12/31
Y2 - 2024/04/22
TI - On additivity of derivations
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 11
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.11.2.453-462
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/2123
SP - 453-462
AB - <p>Let $R$ be a ring and $M$ be an $R$-bimodule. A mapping $d:R\rightarrow M$ (not necessarily additive) is called multiplicative derivation of $R$ if $d(xy)=d(x)y+xd(y)$ for all $x,y\in R.$ In this paper, we intend to establish the additivity of $d$ under some suitable restrictions. Moreover, we introduce multiplicative semi-derivations of rings and discuss their additivity.</p>
ER -