Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 6 4 2025 10 01 Zero product determined of abstract Segal algebras 311 315 5724 10.22060/ajmc.2025.23820.1310 EN Morteza Essmaili Department of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, Tehran, Iran Rahmatollah Rajaenejad Department of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, Tehran, Iran Journal Article 2025 01 08 At the present article, we investigate the notion of zero product determined for category of abstract Segal algebras. Indeed, where $\mathfrak{X}$ is an abstract segal algebra with respect to $\mathfrak{A},$ we prove that under some conditions this notion inherits from $\mathfrak{X}$ to $\mathfrak{A}.$ Applying these results, we obtain some sufficient conditions in which the Fourier algebra $A(\mathfrak{G})$ is zero product determined, when $\mathfrak{G}$ is a locally compact group. https://ajmc.aut.ac.ir/article_5724_4629179d7d19bc438b0c1823db0bf5d0.pdf