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Jordan maps and zero Lie product determined algebrasBrešar, MatejNaj bo ▫$A$▫ algebra nad poljem ▫$F$▫ s karakteristiko različno od 2. Če je ▫$A$▫ generirana z množico ▫$[[A,A],[A,A]]$▫, potem za vsako poševno simetrično bilinearno preslikavo iz pogoja ... ▫$\Phi(x^2,x)=0$▫ za vse ▫$x \in A$▫ sledi ▫$\Phi(xy,z) +\Phi(zx,y) + \Phi(yz,x)=0$▫ za vse ▫$x,y,z \in A$▫. Ta rezultat se uporabi pri ugotavljanju, ali je ▫$A$▫ določena z ničelnim Liejevim produktom, in tudi pri dokazovanju, da je vsak surjektiven jordanski homomorfizem iz ▫$A$▫ na polpraalgebro ▫$B$▫ vsota homomorfizma in antihomomorfizma.Source: Turkish journal of mathematics. - ISSN 1300-0098 (Vol. 46, no. SI-2, 2022, str. 1691-1698)Type of material - article, component part ; adult, seriousPublish date - 2022Language - englishCOBISS.SI-ID - 123459843
Author
Brešar, Matej
Topics
bilinearna preslikava |
algebra, določena z ničelnim Liejevim produktom |
odvajanje |
jordansko odvajanje |
jordanski homomorfizem |
funkcijska identiteta |
ne zaključna dela |
bilinear map |
zero Lie product determined algebra |
derivation |
Jordan derivation |
Jordan homomorphism |
functional identity
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Brešar, Matej | 08721 |
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