Results 161 to 170 of about 1,823 (188)

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
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Baer semisimple modules and Baer rings

2019
We consider Baer rings and Baer semisimple R-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring R is a Baer ring if and only if R itself, regarded as a regular R-module, is Baer semisimple.
Xiaojiang Guo, Shum, K.P.
openaire   +1 more source

Skew π-Baer polynomial rings

Asian-European Journal of Mathematics
A ring [Formula: see text] with an automorphism [Formula: see text] and a [Formula: see text]-derivation [Formula: see text] is called [Formula: see text]-[Formula: see text]-Baer (respectively [Formula: see text]-Baer) if the right annihilator of every projection invariant [Formula: see text]-left ideal (respectively left ideal) of [Formula: see text]
Somaye Mehralinejadian, Ahmad Moussavi, Shervin Sahebi   +2 more
openaire   +1 more source

Baer Endomorphism Rings and Closure Operators

Canadian Journal of Mathematics, 1978
A Baer ring is a ring in which every right (and left) annihilator ideal is generated by an idempotent. Generalizing quite naturally from the fact that the endomorphism ring of a vector space is a Baer ring, Wolfson [5; 6] investigated questions such as when the endomorphism ring of a free module is a Baer ring, and when the ring of continuous linear ...
openaire   +1 more source

Baer and quasi-Baer annihilator conditions for nearrings and rings

Communications in Algebra, 2023
Gary F Birkenmeier, Figen Takil Mutlu, Adnan Tercan   +2 more
exaly  

Fuzzy Baer Subrings: A Fuzzified Extension of Baer Rings

Advances in Nonlinear Variational Inequalities
In classical ring theory, a ring  is classified as a Baer ring if, for any subset  the left (or right) annihilator  is generated by an idempotent element in  This paper introduces the concept of fuzzy Baer subrings, extending the principles of Baer rings to the fuzzy setting by defining a fuzzy subset generated by an element and utilizing fuzzy left ...
openaire   +1 more source

Generalized quasi-Baer *-rings and Banach *-algebras

Communications in Algebra, 2020
M Ahmadi, Nasser Golestani, A Moussavi   +2 more
exaly  

BAER *-RINGS

Bulletin of the London Mathematical Society, 1974
openaire   +1 more source

Canonical embedding of an abstract quantum logic into the partial Baer*-ring of complex fuzzy events

Fuzzy Sets and Systems, 1983
Gianpiero Cattaneo
exaly