LAUSR

Let R be a ring, (S,≤) a strictly totally ordered monoid which is also artinian and ω : S →Aut(R) a monoid homomorphism. Given a right R-module M, denote by [MS,≤] [[RS,≤,ω]] the generalized inverse polynomial module over the skew generalized power series ring [[RS,≤,ω]]. It is shown in this paper that if MR is a completely ω-compatible module and I an attached prime ideal of MR, then [[IS,≤,ω]] is an attached prime ideal of [MS,≤] [[RS,≤,ω]], and that if [MS,≤] R is a completely ω-compatible Bass module, then every attached prime ideal of [MS,≤] [[RS,≤,ω]] can be written as the form of [[IS,≤,ω]] where I is an attached prime ideal of MR.