Results 1 to 10 of about 26,727 (149)
The extended centroid and X-inner automorphisms of Ore extensions
Journal of Algebra, 1992 Let \(R\) be a prime ring and let \(Q_ s(R)\) denotes its symmetric Martindale ring of quotients. This paper determines the center, extended centroid, and \(X\)-inner automorphisms of the Ore extension \(R[t;S,D]\). Furthermore, the following interesting result is obtained. Theorem.
André Leroy, Jerzy Matczuk
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The centroid of extended affine and root graded Lie algebras
Journal of Pure and Applied Algebra, 2006 We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.
Georgia Benkart, Erhard Neher
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Path Integral Centroid Molecular Dynamics Simulation Extended to Bose and Fermi Statistics [PDF]
Progress of Theoretical Physics Supplement, 2000 The CMD is a powerful technique to simulate the real-time semi-classical dynamics of quantum many-body systems.1) Recently, we extended the original Boltzmanntype CMD method to include Bose/Fermi statistics. In the present paper, we focus on the practical technique of the Bose/Fermi CMD, and propose a set of Newtonian equations of motion to be solved ...
Kenichi Kinugawa, Kinugawa Kenichi
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Generalized derivations of order $2$ on multilinear polynomials in prime rings
Математичні Студії, 2022 Let $R$ be a prime ring of characteristic different from $2$ with a right Martindale quotient ring $Q_r$ and an extended centroid $C$. Let $F$ be a non zero generalized derivation of $R$ and $S$ be the set of evaluations of a non-central valued ...
B. Prajapati, C. Gupta
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Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
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On Tensor Products and Extended Centroids [PDF]
Proceedings of the American Mathematical Society, 1983 For prime algebras R R and S
Nicholson, W. K., Watters, J. F.
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A Result on Prime Rings with Generalized Derivations
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we investigate the following result. Let R be a prime ring, Q its symmetric Martindale quotient ring, C its extended centroid, I a nonzero ideal of R.
Shujat Faiza, Khan Shahoor
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Extended centroid of hyperrings
Gulf Journal of Mathematics, 2020 In this paper, the notation of extended centroid is applied to hyperring. We show that the extended centroid C of a hyperring is a hyperfield. Also, we show that if a, b ∈ S such that axb = bxa for all x ∈ R, then there exists q ∈ C such that qa = b where R is a prime hyperring and S be the central closure of R.
Yazarli, Hasret +2 more
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Extended centroids of power series rings [PDF]
Glasgow Mathematical Journal, 1990 Prime rings came into prominence when Posner characterized prime rings satisfying a polynomial identity [9]. The scarcity of invertible central elements made it difficult to generalize results from central simple and primitive algebras to prime rings. For example, we do not automatically have tensor products at our disposal.
Martindale, W. S. +2 more
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Methyl 2-(3-chloro-2-methylanilino)pyridine-3-carboxylate
IUCrData, 2021 The title compound, C14H13ClN2O2, was obtained during an attempt to grow single crystals of 4-acetylphenyl 2-[(3-chloro-2-methylphenyl)amino]nicotinate in methanol, and was probably generated by alcoholysis.
Xing Yang, Sihui Long
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