A NEW CLASS OF PF-RINGS
Let R be a commutative ring and S be the monoid generated by with 0 added, with the relation where is a natural number. In this paper, we show that if R is a PF-ring in the sense that every finitely generated projective R-module is free, then the monoid ring is also a PF-ring.
monoid ring, Hermite ring, projective module, Jacobson radical, PF-ring.
