IJPAM: Volume 52, No. 5 (2009)




Shri Mata Vaishno Devi University (SMVD University)
Katra (J and K), 182320, INDIA


Abstract.Let R be a ring. Let be an automorphism of R. We recall the
definition of a
-ring, and find a relation between the
prime radical of a
-ring R and that of
. Let
now
be a
-derivation of R. We say that a ring R is
a
-ring if
implies
,
; where P(R) is the prime radical of R. We then find a relation
between the prime radical of a
-ring R and that of
. We generalize the result for a Noetherian
Q-algebra (Q is the field of rational numbers).
Received: July 26, 2007
AMS Subject Classification:
Key Words and Phrases: radical, automorphism, derivation, completely prime, -ring, Q-algebra
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 5