Hurwitz幂级数环上的PS-模

PS-modules over rings of Hurwitz power series

设R是有单位元的结合环,M是左R-模.定义了Hurwitz幂级数环上的模(HM,τ),并证明了若τ是M上的单自同态,M是无挠的PS-模,则(HM,τ)也是PS-模.

Let R be an associative ring with identity, M be a left R-module. The concept of modules （HM, τ） over rings of Hurwitz power series is introduced, and it is proved that if τ is a monomorphism of M and M is a torsion-free PS-module, then （HM, τ） is a PS module.