A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
$*$-differential identities of prime rings with involution
1989
Transactions of the American Mathematical Society
Preserved Fulltext
Main Theorem. Let R be a prime ring with involution * . Suppose that 4>(xA,(x A)*) = 0 isa »-differential identity for R, where A; are distinct regular words of derivations in a basis M with respect to a linear order < on M. Then (j>(Zij,z*.) = 0 isa »-generalized identity for R, where z¡¡ are distinct indeterminates. Along with the Main Theorem above, we also prove the following: Proposition 1. Suppose that * is of the second kind and that C is infinite. Then R is special. Proposition 2. Suppose that Sw(V) Ç R C LW(V). Then Q, the two-sided
doi:10.1090/s0002-9947-1989-0937242-2
fatcat:e3n3uyeigfbejorlmx2mrx4oi4