Izvorni znanstveni članak

https://doi.org/10.3336/gm.46.2.06

Identities with derivations in rings

Ajda Fošner ; Faculty of Management, University of Primorska, Cankarjeva 5, 6104 Koper, Slovenia
Maja Fošner ; Faculty of Logistics, University of Maribor, Mariborska cesta 7, 3000 Celje, Slovenia
Joso Vukman ; Department of Mathematics and Computer Science, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia

Sažetak

In this paper we investigate identities with derivations in rings. We prove, for example the following result. Let m ≥ 1,n ≥ 1 be some fixed integers and let R be a 6nm2(2m+n-3)!-torsion free semiprime ring. Suppose there exists a derivation D:R → R satisfying the relation [[D(xm),xn] ,D(xm)]=0 for all x R. In this case D maps R into its center.

Ključne riječi

Prime ring; semiprime ring; derivation

Hrčak ID:

74264

URI

https://hrcak.srce.hr/74264

Datum izdavanja:

23.11.2011.

Posjeta: 846 *