Derivations of prime rings of positive characteristic
Por:
Kharchenko V.K.
Publicada:
1 ene 1996
Resumen:
Let L be a finite-dimensional differential Lie algebra acting on a prime ring R and let the inner part double-struck B sign(L) of L be quasi-Frobenius. Then a constant ring RL, is prime iff double-struck B sign(L) is a differentially simple ring. A ring of constants is semiprime iff double-struck B sign(L) is a direct sum of differentially simple rings, and the prime dimension of a constant ring is equal to the number of differentially simple summands double-struck B sign(L). The Galois closure of L is obtained from L by adding all the inner derivations of a symmetric Martindale quotient ring which agree with elements from double-struck B sign(L). © 1996 Plenum Publishing Corporation.