Results 321 to 330 of about 2,014,536 (376)
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Canadian Mathematical Bulletin, 1983
AbstractLet R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
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AbstractLet R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
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Communications in Algebra, 1994
The structure of rings all of whose ideals are prime is studied and several examples of such rings are constructed.
William D. Blair, Hisaya Tsutsui
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The structure of rings all of whose ideals are prime is studied and several examples of such rings are constructed.
William D. Blair, Hisaya Tsutsui
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Associated prime ideals over skew PBW extensions
, 2020In this article, we continue the study of ideals of the noncommutative rings of polynomial type known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated prime ideals of these extensions.
A. Niño +2 more
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Existentially Complete Prime Rings
Journal of the London Mathematical Society, 1983The author describes properties of existentially closed (e.c.) prime rings. A ring R is prime iff for all a,\(b\in R aRb=\{0\}\) implies \(a=0\) or \(b=0\). He shows that e.c. prime rings can be represented as rings of linear transformations. The center K of R is the prime subfield of R, R has (regarded as vector space over K) infinite dimension and is
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Skew Derivations of Prime Rings
Siberian Mathematical Journal, 2006Summary: Given a prime ring \(R\), a skew \(g\)-derivation for \(g\colon R\to R\) is an additive map \(f\colon R\to R\) such that \(f(xy)=f(x)g(y)+xf(y)=f(x)y+g(x)f(y)\) and \(f(g(x))=g(f(x))\) for all \(x,y\in R\). We generalize some properties of prime rings with derivations to the class of prime rings with skew derivations.
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JORDAN *-DERIVATIONS OF PRIME RINGS
Journal of Algebra and Its Applications, 2014Let R be a prime ring, which is not commutative, with involution * and with Qms(R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a Jordan *-derivation if δ(x2) = δ(x)x* + xδ(x) for all x ∈ R. A Jordan *-derivation of R is called X-inner if it is of the form x ↦ xa - ax* for x ∈ R, where a ∈ Qms(R).
Lee, Tsiu-Kwen, Zhou, Yiqiang
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Rinocchio: SNARKs for Ring Arithmetic
Journal of Cryptology, 2023Chaya Ganesh +2 more
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Nonlinear skew Lie derivations on prime $$*$$ ∗ -rings
Indian journal of pure and applied mathematics, 2022L. Kong, Jianhua Zhang
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S-prime ideals of a commutative ring
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019A. Hamed, Achraf Malek
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2000
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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