University of Guilan Journal of Algebra and Related Topics 2345-3931 11 1 2023 06 01 Study of multiplicative $b$-generalized derivation and its additivity 111 121 6818 10.22124/jart.2023.23051.1444 EN M. R. Mozumder Department of Mathematics, Aligarh Muslim University, Aligarh, India W. Ahmed Department of Mathematics, Aligarh Muslim University, Aligarh, India Journal Article 2022 10 12 Our intention in this paper is to prove the following. Let R be a ring with an idempotent element (0, 1 ΜΈ=)e and f be a multiplicative b-generalized derivation on R. Then we show that f is additive by<br />imposing certain conditions on the ring R. Associative ring Derivation multiplicative b-generalized derivation pierce decomposition https://jart.guilan.ac.ir/article_6818_6d53e4aab3959d7206cbfb658a56de73.pdf