## PF-rings of skew generalized power series## Amit Bhooshan Singh
Let R be a ring which is S-compatible and (S,ω)-Armendariz. In this paper,
we investigate that the skew generalized power series ring R[[S,ω]] is a PF-ring if and only if for any two S-indexed subsets
P and Q of R such that Q ⊆ ann
_{R}(P) and there exists a∊ann_{R}(P)
such that qa=q for all q∊ Q. Further, we prove that if
R be a Noetherian ring then R[[S,ω]] is a PP-ring if and only if R is a PP-ring.
Tbilisi Mathematical Journal, Vol. 4 (2011), pp. 39-46 |