Skew power series extensions of principally quasi-Baer rings

E Hashemi, A Moussavi… - Studia Scientiarum …, 2008 - akjournals.com
A ring R is called right principally quasi-Baer (or simply right pq-Baer) if the right annihilator
of a principal right ideal of R is generated by an idempotent. Let R be a ring such that all left …

Principally quasi-Baer skew power series rings

R Manaviyat, A Moussavi, M Habibi - Communications in Algebra®, 2010 - Taylor & Francis
Let α be an endomorphism of R which is not assumed to be surjective and R be α-
compatible. It is shown that the skew power series ring R [[x; α]] is right pq-Baer if and only if …

A note on extensions of principally quasi-Baer rings

Y Cheng, FK Huang - Taiwanese journal of mathematics, 2008 - JSTOR
A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS Page 1 TAIWANESE
JOURNAL OF MATHEMATICS Vol. 12, No. 7, pp. 1721-1731, October 2008 This paper is …

Principal quasi-Baerness of formal power series rings

ZK Liu, WH Zhang - Acta Mathematica Sinica, English Series, 2010 - Springer
Let R be a ring. We consider left (or right) principal quasi-Baerness of the left skew formal
power series ring R [[x; α]] over R where α is a ring automorphism of R. We give a necessary …

[引用][C] Weakly pq-Baer skew Hurwitz series rings

B Khoshnood, A Moussavi - Asian-European Journal of …, 2024 - World Scientific
A ring R is projective invariant Baer (π-Baer for short) if the right annihilator of every
projection invariant left ideal of R is generated by an idempotent element of R. A ring R is …

Generalized Baer and Generalized Quasi-Baer Rings of Skew Generalized Power Series

MM Hamam, RE Abdel-Khalek, RM Salem - arXiv preprint arXiv …, 2024 - arxiv.org
Let $ R $ be a ring with identity, $(S,\leq) $ an ordered monoid, $\omega: S\to End (R) $ a
monoid homomorphism, and $ A= R\left [\left [S,\omega\right]\right] $ the ring of skew …

Principal quasi-Baerness of modules of generalized power series

R Zhao, Y Jiao - Taiwanese Journal of Mathematics, 2011 - projecteuclid.org
Let $ R $ be a ring, $ M $ a right $ R $-module and $(S,\leq) $ a strictly totally ordered
monoid. It is shown that $[[M^{S,\leq}]] $, the module of generalized power series with …

Principally quasi-Baer skew Hurwitz series rings

K Paykan - Bollettino dell'Unione Matematica Italiana, 2017 - Springer
A ring is quasi-Baer (respectively, right pq-Baer) in case the right annihilator of every
(respectively, principal right) ideal is generated by an idempotent, as a right ideal. A ring R is …

A note on principally quasi-Baer rings

Z Liu - Communications in Algebra, 2002 - Taylor & Francis
Full article: A NOTE ON PRINCIPALLY QUASI-BAER RINGS Skip to Main Content Taylor and
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On skew quasi-Baer rings

M Habibi, A Moussavi, R Manaviyat - Communications in Algebra®, 2010 - Taylor & Francis
A ring R with an automorphism α and an α-derivation δ is called (α, δ)-quasi-Baer (resp.,
quasi-Baer) if the right annihilator of every (α, δ)-ideal (resp. ideal) of R is generated by an …