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• W2077273363 abstract "A module M R is called principally quasi-Baer (or simply p.q.-Baer) if the annihilator of every cyclic submodule of M R is generated by an idempotent, as a right ideal. Let α be an automorphism of R and M R be an α-compatible module and every countable subset of right semicentral idempotents in R has a generalized countable join or R satisfies the ACC on left annihilator ideals. It is shown that M R is p.q.-Baer if and only if M[[x]] R[[x; α]] is p.q.-Baer if and only if M[[x, x −1]] R[[x, x −1; α]] is p.q.-Baer. As a consequence, we unify and extend nontrivially many of the previously known results such as [11, 15, 20]. Examples to illustrate and delimit the theory are provided." @default.
• W2077273363 created "2016-06-24" @default.
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• W2077273363 date "2013-04-22" @default.
• W2077273363 modified "2023-09-23" @default.
• W2077273363 title "Principally Quasi-Baer Skew Power Series Modules" @default.
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• W2077273363 doi "https://doi.org/10.1080/00927872.2011.615357" @default.
• W2077273363 hasPublicationYear "2013" @default.
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