Results 191 to 200 of about 984 (217)

BAER ENDOMORPHISM RINGS AND ENVELOPES

Journal of Algebra and Its Applications, 2010
R is called a Baer ring if the left annihilator of every nonempty subset of R is a direct summand of RR. R is said to be a left AFG ring in case the left annihilator of every nonempty subset of R is a finitely generated left ideal. In this paper, we study Baer rings and AFG rings of endomorphisms of modules in terms of envelopes.
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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.
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Counterexamples on baer rings

Communications in Algebra, 1997
In this paper we give counterexamples to the following questions: (1) Are commutative reduced rings Baer?, (2) Are commutative von Neumann regular rings Baer?, (3) Are reduced rings with center Baer also Baer?, and (4) Are prime Pi-rings Baer? Moreover we consider some conditions under which the answers of them are affirmative.
Yang Lee, Nam Kyun Kim, Chan Yong Hong
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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.
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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.
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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
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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 ...
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BAER *-RINGS

Bulletin of the London Mathematical Society, 1974
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Baer and quasi-Baer annihilator conditions for nearrings and rings

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