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 …

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

M Hamam, RES Abdel-Khaleq… - … University Journal of …, 2024 - aunj.journals.ekb.eg
Let R be a ring with identity,(S,≤) an ordered monoid, ω: S→ End (R) a monoid
homomorphism, and A= R [[S, ω]] the ring of skew generalized power series. The concepts …

Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

K Paykan, A Moussavi - Communications in Algebra, 2017 - Taylor & Francis
Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …

Baer and quasi-Baer properties of skew generalized power series rings

K Paykan, A Moussavi - Communications in Algebra, 2016 - Taylor & Francis
Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …

Left principally quasi-Baer and left APP-rings of skew generalized power series

R Mazurek - Journal of Algebra and Its Applications, 2015 - World Scientific
Let R be a ring, S a strictly ordered monoid, and ω: S→ End (R) a monoid homomorphism.
The skew generalized power series ring R [[S, ω]] is a common generalization of (skew) …

Weakly principally quasi-Baer skew generalized power series rings

A Majidinya, A Moussavi - Applicable Algebra in Engineering …, 2021 - Springer
Abstract Let (S, ≤)(S,≤) be a strictly totally ordered monoid and R an (S, ω)(S, ω)-weakly
rigid ring, where ω: S → End (R) ω: S→ E nd (R) is a monoid homomorphism. In this paper …

Baer rings of generalized power series

L Zhongkui - Glasgow Mathematical Journal, 2002 - cambridge.org
Baer rings of generalized power series Page 1 BAER RINGS OF GENERALIZED POWER
SERIES* LIU ZHONGKUI Department of Mathematics, Northwest Normal University …

Skew Polynomial Extensions of Semi Baer and Semi Quasi Baer Rings.

A Patil - Southeast Asian Bulletin of Mathematics, 2020 - search.ebscohost.com
Let R be a ring and α be an endomorphism of R. In this paper, we introduce the concepts of
α-semi-Baer, α-semi-quasi Baer rings as a generalization of semi-Baer and semi-quasi Baer …

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 …

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 …