20.500.12556/DiRROS-18650 The Waring problem for matrix algebras, II 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 $M_n(F)$. Waring problem noncommutatative polynomials matrix algebras Waringov problem nekomutativni polinomi matrične algebre true false true Angleški jezik Slovenski jezik Neznano 2024-04-10 09:21:58 2024-04-10 09:21:58 2024-04-11 03:34:32 0000-00-00 00:00:00 2023 0 0 str. 1880-1889 iss. 4 Vol. 55 Aug. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-08-01 512 0024-6093 10.1112/blms.12825 161733891 Bulletin_of_London_Math_Soc_-_2023_-_Bresar_-_The_Waring_problem_for_matrix_algebras_II.pdf Bulletin_of_London_Math_Soc_-_2023_-_Bresar_-_The_Waring_problem_for_matrix_algebras_II.pdf 1 13EF7CD8A2F1804D1E472D94DA28140C b1b2f38533313f53a827ed3efb1fe2b897f4c22289b353b99edf70021534eef7 9dfa8539-f6fa-11ee-ae20-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25477 https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.12825 1 4146fa51-f6fa-11ee-ae20-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25476 Inštitut za matematiko, fiziko in mehaniko 0 0 0