Let R be a semiprime ring of characteristic different from 2, C its extended centroid, Z(R) its center, F and G non-zero skew derivations of R with associated automorphism α and m, n positive integers such that [F(x),G(y)]m=[x,y]nforallx,y∈R.Then R is commutative. © 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
Strong Commutativity Preserving Skew Derivations in Semiprime Rings
De Filippis V.;
2018-01-01
Abstract
Let R be a semiprime ring of characteristic different from 2, C its extended centroid, Z(R) its center, F and G non-zero skew derivations of R with associated automorphism α and m, n positive integers such that [F(x),G(y)]m=[x,y]nforallx,y∈R.Then R is commutative. © 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.File in questo prodotto:
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