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Zero product determined of Abstract Segal algebra | ||
AUT Journal of Mathematics and Computing | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 فروردین 1404 | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23820.1310 | ||
نویسندگان | ||
Morteza Essmaili* 1؛ Rahmatollah Rajaenejad2 | ||
1Faculty of Mathematical Sciences and Computer, Kharazmi University | ||
2Kharazmi University | ||
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 | ||
47B48؛ 43A20 | ||
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