@Article{CMR-29-4, author = {Zhang, Wanru}, title = {Principal Quasi-Baerness of Rings of Skew Generalized Power Series}, journal = {Communications in Mathematical Research }, year = {2013}, volume = {29}, number = {4}, pages = {335--344}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/2013-CMR-18995}, url = {https://global-sci.com/article/81805/principal-quasi-baerness-of-rings-of-skew-generalized-power-series} }