Higher Homomorphisms and Their Approximations
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}...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-01-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3414_59f2b45f4a7c9526ca428199d8aab886.pdf |
| _version_ | 1827920787456131072 |
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| author | Sayed khalil Ekrami |
| author_facet | Sayed khalil Ekrami |
| author_sort | Sayed khalil Ekrami |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T04:16:43Z |
| format | Article |
| id | doaj.art-71cbdf2acceb4f2b9ec274758720dd8b |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:43Z |
| publishDate | 2023-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-71cbdf2acceb4f2b9ec274758720dd8b2023-06-21T03:21:03ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-01-0112132733710.22103/jmmr.2022.19303.12333414Higher Homomorphisms and Their ApproximationsSayed khalil Ekrami0Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran.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.https://jmmrc.uk.ac.ir/article_3414_59f2b45f4a7c9526ca428199d8aab886.pdfbanach algebra, higher homomorphismapproximate higher homomorphismfixed-point theorem |
| spellingShingle | Sayed khalil Ekrami Higher Homomorphisms and Their Approximations Journal of Mahani Mathematical Research banach algebra, higher homomorphism approximate higher homomorphism fixed-point theorem |
| title | Higher Homomorphisms and Their Approximations |
| title_full | Higher Homomorphisms and Their Approximations |
| title_fullStr | Higher Homomorphisms and Their Approximations |
| title_full_unstemmed | Higher Homomorphisms and Their Approximations |
| title_short | Higher Homomorphisms and Their Approximations |
| title_sort | higher homomorphisms and their approximations |
| topic | banach algebra, higher homomorphism approximate higher homomorphism fixed-point theorem |
| url | https://jmmrc.uk.ac.ir/article_3414_59f2b45f4a7c9526ca428199d8aab886.pdf |
| work_keys_str_mv | AT sayedkhalilekrami higherhomomorphismsandtheirapproximations |