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Higher Homomorphisms and Their Approximations | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 1 - شماره پیاپی 24، فروردین 2023، صفحه 327-337 اصل مقاله (468.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19303.1233 | ||
| نویسنده | ||
| Sayed khalil Ekrami* | ||
| Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran. | ||
| چکیده | ||
| In this paper, we introduce a class of higher homomorphisms on an algebra $ \mathcal{A} $ and we characterize the structure of them as a linear combination of some sequences of homomorphisms. Also we prove that for any approximate higher ring homomorphism on a Banach algebra $ \mathcal{A} $ under some sequences of control funtions, there exists a unique higher ring homomorphism near it. Using special sequences of control functions, we show that the approximate higher ring homomorphism is an exact higher ring homomorphism. | ||
| کلیدواژه‌ها | ||
| Banach algebra, Higher homomorphism؛ Approximate higher homomorphism؛ Fixed-point Theorem | ||
| مراجع | ||
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