Zero product determined of abstract Segal algebras

	Zero product determined of abstract Segal algebras
AUT Journal of Mathematics and Computing
مقاله 3، دوره 6، شماره 4، 2025، صفحه 311-315 اصل مقاله (353.03 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23820.1310
نویسندگان
Morteza Essmaili^* ؛ Rahmatollah Rajaenejad
Department of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
Abstract Segal algebras؛ Zero product determined؛ Fourier algebras
مراجع

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