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Two results concerning symetric bi-derivations on prime ringsVukman, JosoNaj bo ▫$R$▫ kolobar. Biaditivna simetrična preslikava ▫$D(.,.): R\times R\to R$▫ je simetrična biderivacija, če je za vsak ▫$y\in R$▫ preslikave ▫$x\mapsto D(x,y)$▫ derivacija. V članku sta dokazana ... dva rezultata o simetričnih biderivacijah na prakolobarjih. Prvi rezultat pravi naslednje: če sta ▫$D_1$▫ in ▫$D_2$▫ simetrični biderivaciji na prakolobarju s karakteristiko različno od dva in tri tako, da je ▫$D_1(x,x)D_2(x,x)=0,\quad x\in R$▫, potem je ▫$D_1=0$▫ ali ▫$D_2=0$▫.Source: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (vol. 27, št. 301, 1989, str. 484-494)Type of material - article, component partPublish date - 1989Language - englishCOBISS.SI-ID - 7554905
Author
Vukman, Joso
Topics
matematika |
asociativni kolobarji in algebre |
kolobar |
prakolobar |
odvajanje |
simetrično bi-odvajanje |
mathematics |
associative rings and algebras |
ring |
prime ring |
derivation |
symmetric bi-derivation
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source: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (vol. 27, št. 301, 1989, str. 484-494)
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