20.500.12556/RUL-151894 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 Članek v reviji 2023-10-25 11:51:33 2023-10-25 11:51:34 2023-10-26 03:45:08 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 0000-00-00 512 0024-6093 10.1112/blms.12825 161733891 Bulletin_of_London_Math_Soc_-_2023_-_Bre_ar.pdf Bulletin_of_London_Math_Soc_-_2023_-_Bre_ar.pdf 1 9BCA38626EF71AD0F09A9FDE428D3580 10de828741fc7fc07941820c5a407f88567811b9f3d136d364a5eeee06f94c41 5883f2a0-731c-11ee-91a5-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=177013 https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.12825 1 14eeb81e-731c-11ee-91a5-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=177012 Fakulteta za matematiko in fiziko 0 0 0