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Values of noncommutative polynomials, Lie skew-ideals and tracial nullstellensätzeBrešar, Matej ; Klep, Igor, matematikPodprostor algebre z involucijo je poševni Liejev ideal, če je zaprt za Liejeve produkte s poševno simetričnimi elementi. V članku klasificiramo Liejeve poševne ideale v centralno enostavnih algebrah ... z involucijo (osem jih je za involucije prve vrste in 4 za involucije druge vrste) in ta klasifikacijski rezultat uporabimo, da karakteriziramo nekomutativne polinome s pomočjo vrednosti v teh algebrah. Kot posledico dobimo, da je polinom vsota komutatorjev in polinomske identitete ▫$d \times d$▫ matrik natanko takrat, ko imajo vse njegove vrednosti v algebri ▫$d \times d$▫ matrik sled 0.Source: Mathematical research letters. - ISSN 1073-2780 (Vol. 16, no. 4, 2009, str. 605-626)Type of material - article, component partPublish date - 2009Language - englishCOBISS.SI-ID - 15220825
Author
Brešar, Matej |
Klep, Igor, matematik
Topics
matematika |
algebra |
nekomutativni polinom |
Liejev ideal |
poševni Liejev ideal |
vsota komutatorjev |
sled |
involucija |
mathematics |
algebra |
noncommutative polynomial |
Lie ideal |
Lie skew-ideal |
sum of commutators |
trace |
involution
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Brešar, Matej | 08721 |
Klep, Igor, matematik | 22353 |
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