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Commuting maps on Lie idealsBrešar, Matej ; Miers, C. RobertNaj bo ▫$R$▫ in ▫$A$▫ podmnožica ▫$R$▫. Preslikava ▫$f:A\to R$▫ je komutirajoča na ▫$A$▫, če velja ▫$[f(x),x]=0$▫ za vse ▫$x\in A$▫, kjer je ▫$[x,y]=xy-yz$▫. Naj bo ▫$R$▫ prakolobar s karakterisiko ... ▫$\ne 2$▫ in razširjenim centroidom ▫$C$▫. Če je ▫$L$▫ nekomutativen Liejev ideal ▫$R$▫ in je ▫$f:L\to R$▫ aditivna komutirajoča preslikava, potem obstaja tak ▫$\lambda \in C$▫ in aditivna preslikava ▫$\xi:L\to C$▫, da je ▫$f(v)=\lambda v+\xi(v)$▫ za vse ▫$v\in L$▫.Source: Communications in algebra. - ISSN 0092-7872 (Let .23, št. 14, 1995, str. 5539-5553)Type of material - article, component partPublish date - 1995Language - englishCOBISS.SI-ID - 7649625
Author
Brešar, Matej |
Miers, C. Robert
Topics
matematika |
algebra |
asociativni kolobarji in algebre |
prakolobarji |
komutirajoče preslikave |
aditivne preslikave |
Liejevi ideali |
razširjeni centroid |
mathematics |
algebra |
associative rings and algebras |
prime rings |
commuting maps |
additive maps |
Lie ideals |
extended centroid
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