Results 1 to 10 of about 7,843 (128)
On torsion-free periodic rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We characterize several large classes of periodic rings: periodic rings with identity, finite-rank torsion-free periodic rings, and rank-two torsion-free periodic rings.
R. R. Khazal, S. Breaz, G. Calugareanu
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On multiplicative centrally-extended maps on semi-prime rings
Journal of Taibah University for Science, 2022 In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps ...
M. S. Tammam EL-Sayiad, A. Ageeb
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Some Characterizations of w-Noetherian Rings and SM Rings
Journal of Mathematics, 2022 In this paper, we characterize w-Noetherian rings and SM rings. More precisely, in terms of the u-operation on a commutative ring R, we prove that R is w-Noetherian if and only if the direct limit of rGV-torsion-free injective R-modules is injective and ...
De Chuan Zhou +3 more
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On invariant ideals in group rings of torsion-free minimax nilpotent groups
Researches in Mathematics, 2023 Let $k$ be a field and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank. In the presented paper we study properties of some types of $G$-invariant ideals of the group ring $kN$.
A.V. Tushev
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Characterizing Jordan Derivable Maps on Triangular Rings by Local Actions
Journal of Mathematics, 2022 Suppose that T=TriA,ℳ,ℬ is a 2-torsion free triangular ring, and S=A,B|AB=0,A,B∈T∪A,X|A∈T, X∈P,Q, where P is the standard idempotent of T and Q=I−P. Let δ:T⟶T be a mapping (not necessarily additive) satisfying, A,B∈S⇒δA∘B=A∘δB+δA∘B, where A∘B=AB+BA is ...
Hoger Ghahramani +2 more
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Commutativity with Derivations of Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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Rings on Abelian torsion-free groups of finite rank [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021 This paper will be published in Beitr\"{a}ge zur Algebra und Geometrie / Contributions to Algebra and ...
E. I. Kompantseva, A. A. Tuganbaev
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Commutativity theorems for rings and groups with constraints on commutators
International Journal of Mathematics and Mathematical Sciences, 1984 Let n>1, m, t, s be any positive integers, and let R be an associative ring with identity. Suppose xt[xn,y]=[x,ym]ys for all x, y in R. If, further, R is n-torsion free, then R is commutativite.
Evagelos Psomopoulos
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A NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS [PDF]
Journal of Algebraic Systems, 2014 In this paper, by using elementary tools of commutative algebra,we prove the persistence property for two especial classes of rings. In fact, thispaper has two main sections.
Mehrdad Nasernejad
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Finite dimensional torsion free rings [PDF]
Pacific Journal of Mathematics, 1971 In the class of rings with zero singular left ideal, several characterizations of rings with finite left Goldie dimension are given. They include: the direct limit of torsion free modules is torsion free; the direct limit of torsion free injective modules is injective; each absolutely pure torsion free module is injective; each module has a unique (up ...
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