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ON ORE EXTENSIONS OF QUASI-BAER RINGS
Journal of Algebra and Its Applications, 2008A ring R is called (right principally) quasi-Baer if the right annihilator of every (principal right) ideal of R is generated by an idempotent. We study on the relationship between the quasi-Baer and p.q.-Baer property of a ring R and these of the Ore extension R[x; α, δ] for any automorphism α and α-derivation δ of R.
Nasr-Isfahani, A. R., Moussavi, A.
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Mathematical Notes, 2009
Let \(R\) be a ring with 1 and \(n\geq 2\) an integer. Then \(R\) is said to be an \(n\)-extended right (principally) quasi-Baer ring if, for any proper (principal) right ideals \(I_1,I_2,\dots,I_n\) of \(R\), the right annihilator of \((I_1I_2\cdots I_n)\) is generated by an idempotent. An \(n\)-extended left (principally) quasi-Baer ring is similarly
Ghalandarzadeh, Sh. +1 more
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Let \(R\) be a ring with 1 and \(n\geq 2\) an integer. Then \(R\) is said to be an \(n\)-extended right (principally) quasi-Baer ring if, for any proper (principal) right ideals \(I_1,I_2,\dots,I_n\) of \(R\), the right annihilator of \((I_1I_2\cdots I_n)\) is generated by an idempotent. An \(n\)-extended left (principally) quasi-Baer ring is similarly
Ghalandarzadeh, Sh. +1 more
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Weakly principally quasi-Baer rings
Journal of Algebra and Its Applications, 2015We say a ring R with unity is weakly principally quasi-Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is right s-unital by right semicentral idempotents, which implies that R modulo the right annihilator of any principal right ideal is flat.
Majidinya, A., Moussavi, A.
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Prime ideals of principally quasi-Baer rings
Acta Mathematica Hungarica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, G. F. +2 more
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On generalized quasi Baer skew monoid rings
Journal of Algebra and Its Applications, 2023In this paper, we study generalized right (principally) quasi Baer skew monoid rings. Examples to illustrate and delimit the results are provided.
Habibi, Mohammad +2 more
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THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL
Journal of Algebra and Its Applications, 2011The quasi-Baer condition of R/P(R) is investigated when R is a quasi-Baer ring, where P(R) is the prime radical of R. We provide an example of quasi-Baer ring R such that R/P(R) is not quasi-Baer. However, when P(R) is nilpotent, we prove that if R is a quasi-Baer (resp., Baer) ring, then R/P(R) is quasi-Baer (resp., Baer).
Birkenmeier, Gary F. +2 more
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Group Actions on Quasi-Baer Rings
Canadian Mathematical Bulletin, 2009AbstractA ring R is called quasi-Baer if the right annihilator of every right ideal of R is generated by an idempotent as a right ideal. We investigate the quasi-Baer property of skew group rings and fixed rings under a finite group action on a semiprime ring and their applications to C*-algebras.
Hai Lan Jin, Jaekyung Doh, Jae Keol Park
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Differential Extensions of Weakly Principally Quasi-Baer Rings
Acta Mathematica Vietnamica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paykan, Kamal, Moussavi, Ahmad
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A simple proof of a theorem on quasi-Baer rings
Archiv der Mathematik, 2003The author presents a simple proof of a theorem by \textit{G. F. Birkenmeier, J. Y. Kim} and \textit{J. K. Park} [J. Pure Appl. Algebra 159, No. 1, 25-42 (2001; Zbl 0987.16018)], which states that if \(R[x,x^{-1}]\) or \(R[\![x,x^{-1}]\!]\) is quasi-Baer, then so is \(R\).
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Principal quasi-Baerness of formal power series rings
Acta Mathematica Sinica, English Series, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhong Kui, Zhang, Wen Hui
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