University of Guilan Journal of Algebra and Related Topics 2345-3931 12 2 2025 01 01 Derivations mapping into the Jacobson radical of a Banach algebra 75 86 8459 10.22124/jart.2024.20306.1300 EN M. Moumen Departement of Mathematics, National School of Applied Sciences, Ibnou Zohr University Agadir, Morocco L. TAOUFIQ Departement of Mathematics, National School of Applied Sciences, Ibnou Zohr University, Agadir, Morocco Journal Article 2021 09 10 ‎Let $\mathcal{A}$ be a Banach algebra with Jacobson radical $Rad_{\mathcal{A}}$ and $d$ a continuous derivation of $\mathcal{A}$‎. ‎The purpose of this article is to investigate some sufficient conditions under which $d(\mathcal{A})\subseteq Rad_{\mathcal{A}}$ from a topological point of view‎. ‎Interesting results are established with some applications‎. continuity closed subspace open subset quasinilpotent element local ring https://jart.guilan.ac.ir/article_8459_eeb7bb9f83f6f18e32df8e2a24212915.pdf