TY - JOUR
T1 - Principal Quasi-Baerness of Rings of Skew Generalized Power Series
AU - Zhang , Wanru
JO - Communications in Mathematical Research 
VL - 4
SP - 335
EP - 344
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/18995.html
KW - rings of skew generalized power series, right p.q.-Baer ring, weakly rigid
endomorphism.
AB - <p style="text-align: justify;">Let $R$ be a ring and $(S, ≤)$ be a strictly totally ordered monoid satisfying
that $0 ≤ s$ for all $s ∈ S$. It is shown that if $λ$ is a weakly rigid homomorphism, then
the skew generalized power series ring $[[R^{S,≤}, λ]]$ is right p.q.-Baer if and only if $R$ is right p.q.-Baer and any S-indexed subset of $S_r(R)$ has a generalized join in $S_r(R)$.
Several known results follow as consequences of our results.</p>