| Title: | The Waring problem for matrix algebras, II |
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| Authors: | ID Brešar, Matej (Author)
ID Šemrl, Peter (Author) |
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| Files: |  PDF - Presentation file, download (133,03 KB)
MD5: 13EF7CD8A2F1804D1E472D94DA28140C
 URL - Source URL, visit https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.12825
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | Let $f$ be a noncommutative polynomial of degree $m\ge 1$ over an algebraically closed field $F$ of characteristic $0$. If $n\ge m-1$ and $\alpha_1,\alpha_2,\alpha_3$ are nonzero elements from $F$ such that $\alpha_1+\alpha_2+\alpha_3=0$, then every trace zero $n\times n$ matrix over $F$ can be written as $\alpha_1 A_1+\alpha_2A_2+\alpha_3A_3$ for some $A_i$ in the image of $f$ in $M_n(F)$. |
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| Keywords: | Waring problem, noncommutatative polynomials, matrix algebras |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.08.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 1880-1889 |
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| Numbering: | Vol. 55, iss. 4 |
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| PID: | 20.500.12556/DiRROS-18650  |
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| UDC: | 512 |
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| ISSN on article: | 0024-6093 |
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| DOI: | 10.1112/blms.12825 |
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| COBISS.SI-ID: | 161733891 |
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| Note: |
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| Publication date in DiRROS: | 10.04.2024 |
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| Views: | 1089 |
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| Downloads: | 515 |
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