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Algebra fuzzy norms generated by homomorphisms | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 1 - شماره پیاپی 31، فروردین 2025، صفحه 23-44 اصل مقاله (493.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.22657.1550 | ||
| نویسندگان | ||
| Ali Reza Khoddami* ؛ Fatemeh Kouhsari | ||
| Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box: 3619995161-316, Shahrood, Iran | ||
| چکیده | ||
| As a new approach, for a nonzero normed algebra $A$, we will define some different classes of algebra fuzzy norms on $A$ generated by homomorphisms and continuous homomorphisms. Also as a source of examples and counterexamples in the field of fuzzy normed algebras, separate continuity of the elements within each class are investigated. | ||
| کلیدواژه‌ها | ||
| Linear functional؛ Fuzzy normed algebra؛ Homomorphism؛ Separate continuity | ||
| مراجع | ||
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