Krull Domains of Generalized Power Series

satisfies the ACC on cyclic submonoids. On the otherhand, there are at least three distinct power series rings in infinitely manyindeterminates in the literature. In 5 , Gilmer proved that each of thesethree types of power series rings in infinitely many indeterminates is also aKrull domain in case the coefficient ring is a Krull domain. In 10 ,Ribenboim investigated the following question: If a ring