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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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