On N-Dimensional Achr-Algebras
We prove that a homomorphismfrom complete normed algebra A into an n-dimensional normed algebra B is automatically continuous. As a consequence, B is ACHR-algebra.
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| Format: | Article |
| Language: | English |
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University of Zakho
2013-06-01
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| Series: | Science Journal of University of Zakho |
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| Online Access: | https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/106 |
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Article |
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doaj-b7d6055aa81d4d6aaf34caf693b9c61a2020-11-25T00:34:19Zeng University of ZakhoScience Journal of University of Zakho2663-628X2663-62982013-06-0111333337106On N-Dimensional Achr-AlgebrasAmir A. Mohammed0Abdulhakeem L. Hasan1University of MosulUniversity of MosulWe prove that a homomorphismfrom complete normed algebra A into an n-dimensional normed algebra B is automatically continuous. As a consequence, B is ACHR-algebra.https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/106Automatic continuityFinite-dimensionHomomorphismNormed algebra |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Amir A. Mohammed Abdulhakeem L. Hasan |
| spellingShingle |
Amir A. Mohammed Abdulhakeem L. Hasan On N-Dimensional Achr-Algebras Science Journal of University of Zakho Automatic continuity Finite-dimension Homomorphism Normed algebra |
| author_facet |
Amir A. Mohammed Abdulhakeem L. Hasan |
| author_sort |
Amir A. Mohammed |
| title |
On N-Dimensional Achr-Algebras |
| title_short |
On N-Dimensional Achr-Algebras |
| title_full |
On N-Dimensional Achr-Algebras |
| title_fullStr |
On N-Dimensional Achr-Algebras |
| title_full_unstemmed |
On N-Dimensional Achr-Algebras |
| title_sort |
on n-dimensional achr-algebras |
| publisher |
University of Zakho |
| series |
Science Journal of University of Zakho |
| issn |
2663-628X 2663-6298 |
| publishDate |
2013-06-01 |
| description |
We prove that a homomorphismfrom complete normed algebra A into an n-dimensional normed algebra B is automatically continuous. As a consequence, B is ACHR-algebra. |
| topic |
Automatic continuity Finite-dimension Homomorphism Normed algebra |
| url |
https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/106 |
| work_keys_str_mv |
AT amiramohammed onndimensionalachralgebras AT abdulhakeemlhasan onndimensionalachralgebras |
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1725314134716710912 |