Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 13 2 2024 08 01 A generalized notion of orthogonality preserving mappings on inner product modules 191 197 3999 10.22103/jmmr.2023.22038.1495 EN Ali Reza Khoddami Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran 0000-0002-9428-8185 Journal Article 2023 09 15 ‎‎‎‎‎In this paper, we define a new concept called ``strongly orthogonality preserving mappings '' for inner product modules, which extends the existing notion of ``orthogonality preserving mappings". Also, we provide a condition that is both necessary and sufficient for a linear map between inner product modules to be strongly orthogonality preserving. Some examples on the definition are given. Strongly orthogonality preserving map‎ ‎Inner product module‎ ‎$C^*-$algebra‎ https://jmmrc.uk.ac.ir/article_3999_bbeadb389252ca11d9bf9d0b4fa16923.pdf