Results 181 to 190 of about 984 (217)

αcc-Baer Rings

open access: yesMathematica Slovaca, 2015
Abstract Let α denote an infinite cardinal or ∞ which is used to signify no cardinal constraint. This work introduces the concept of an αcc-Baer ring and demonstrates that a commutative semiprime ring A with identity is αcc-Baer if and only if Spec(A) is αcc-disconnected. Moreover, we prove that for each commutative semprime ring A with
Ricardo E Carrera
exaly   +4 more sources

Baer ∗-Rings

open access: yesGrundlehren Der Mathematischen Wissenschaften in Einzeldarstellungen Mit Besonderer Berücksichtigung Der Anwendungsgebiete, 1972
A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic foundations of von Neumann algebras. Equivalence of projections, decompositio into types; connections with AW*-algebras, *-regular rings, continuous ...
Sterling K Berberian
exaly   +3 more sources

π-Baer rings

open access: yesJournal of Algebra and Its Applications, 2018
We say a ring [Formula: see text] is [Formula: see text]-Baer if the right annihilator of every projection invariant left ideal of [Formula: see text] is generated by an idempotent element of [Formula: see text]. In this paper, we study connections between the [Formula: see text]-Baer condition and related conditions such as the Baer, quasi-Baer and ...
Kara, YELİZ   +2 more
openaire   +3 more sources

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

Baer Endomorphism Rings and Closure Operators

open access: yesCanadian 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 ...
null Soumaya M. Khuri
openaire   +2 more sources

Class of Baer ∗-rings defined by a relaxed set of axioms

open access: yesJournal of Algebra, 2006
We consider a class C of Baer ∗-rings (also treated in [S.K. Berberian, Baer ∗-Rings, Grundlehren Math. Wiss., vol. 195, Springer, Berlin, 1972] and [L. Vaš, Dimension and torsion theories for a class of Baer ∗-rings, J.
Lia Vas
exaly   +2 more sources

Generalized Baer $ \ast $-Rings

Siberian Mathematical Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Ahmadi, A. Moussavi
openaire   +1 more source

Baer duality for commutative rings

Forum Mathematicum, 2002
Let \(R\) and \(T\) be rings, and let \(_RU_T\) be a bimodule faithful on both sides. The triple \((R,{_RU_T},T)\) is a Baer duality if \({\mathcal L}({_RR})\) and \({\mathcal L}(U_T)\), as well as \({\mathcal L}({_RU})\) and \({\mathcal L}(T_T)\), are respectively anti-isomorphic, where \({\mathcal L}(X)\) denotes the submodule lattice of a module \(X\
ÁNH P. N., HERBERA D., MENINI, Claudia
openaire   +1 more source

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