Results 101 to 110 of about 193 (129)

Baer and Quasi-Baer Differential Polynomial Rings

Communications in Algebra, 2008
A ring R with a derivation δ is called δ-quasi Baer (resp. quasi-Baer), if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent, as a right ideal. We show the left-right symmetry of δ-(quasi) Baer condition and prove that a ring R is δ-quasi Baer if and only if R[x;δ] is quasi Baer if and only if R[x;δ] is -quasi Baer
A R Nasr-Isfahani, A Moussavi
exaly   +2 more sources

Rings which are Baer or quasi-Baer modulo a radical

Communications in Algebra, 2021
Baer and quasi-Baer rings are important classes of algebraic objects, and their properties have roots in analysis.
exaly   +2 more sources

Quasi-Baer Rings with Essential Prime Radicals

Communications in Algebra, 2006
A ring R is called “quasi-Baer” if the right annihilator of every right ideal is generated, as a right ideal, by an idempotent. It can be seen that a quasi-Baer ring cannot be a right essential extension of a nilpotent right ideal. Birkenmeier asked: Does there exist a quasi-Baer ring which is a right essential extension of its prime radical? We answer
Jae Keol Park
exaly   +2 more sources

Principally quasi-Baer skew Hurwitz series rings

Bolletino Dell Unione Matematica Italiana, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kamal Paykan, Paykan Kamal
exaly   +2 more sources

ON ORE EXTENSIONS OF QUASI-BAER RINGS

Journal of Algebra and Its Applications, 2008
A 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.
openaire   +2 more sources

n-extended quasi-Baer rings

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., Zareh Khoshchehreh, F.   +1 more
openaire   +2 more sources

Weakly principally quasi-Baer rings

Journal of Algebra and Its Applications, 2015
We 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.
openaire   +2 more sources

Prime ideals of principally quasi-Baer rings

Acta Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, G. F., Kim, J. Y., Park, J. K.   +2 more
openaire   +1 more source

On generalized quasi Baer skew monoid rings

Journal of Algebra and Its Applications, 2023
In this paper, we study generalized right (principally) quasi Baer skew monoid rings. Examples to illustrate and delimit the results are provided.
Habibi, Mohammad, Paykan, Kamal, Arianpoor, Hassan   +2 more
openaire   +1 more source

THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL

Journal of Algebra and Its Applications, 2011
The 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., Kim, Jin Yong, Park, Jae Keol   +2 more
openaire   +2 more sources