Let R be a ring, M a right R-module and (S, ≤) a strictly totally ordered monoid. It is shown that [[M S,≤ ]], the module of generalized power series with coefficients in M and exponents in S, is a p.q.Baer right [[R S,≤ ]]module if and only if the right annihilator of any S-indexed family of cyclic submodules of M in R is generated by an idempotent of R. Furthermore, we will show that for a ring R with all left semicentral idempotents are central, the ring [[R S,≤ ]] consisting of generalized power series over R is a right p.q.Baer ring if and only if R is a right p.q.Baer ring and any S-indexed family of central idempotents of R has a generalized join in I(R), where I(R) is the set of all idempotents of R.
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