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On the Multiplication Ring of a Prime Ring
Communications in Algebra, 2006Given a positive integer n, we show there is a positive integer f(n) with the following property. Let R be a prime ring with extended centroid C, and let a 1,a 2,…,a n be C-independent elements of R. Then there is an element in the multiplication ring of R such that m ≤ f(n), p(a 1) = 0 and p(a 2),…,p(a n ) are C-independent. A similar approach is used
M. Brešar, W. S. Martindale
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Commutativity of prime rings with generalized derivations and anti-automorphisms
Georgian Mathematical Journal, 2022The purpose of this paper is to study the commutativity of a prime ring ℛ {\mathscr{R}} with anti-automorphism ψ and generalized derivation ( ℱ , ξ ) {(\mathscr{F},\xi)} satisfying certain algebraic identities.
N. Rehman, Hafedh M. Alnoghashi
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AN EXAMPLE OF A CHAIN PRIME RING WITH NILPOTENT ELEMENTS
, 1984In this paper the author constructs a chain ring (i.e. a ring in which the right and left ideals are linearly ordered by inclusion) with the following properties: 1) is a prime ring; 2) the Jacobson radical of is a simple chain ring (without identity); 3)
N. I. Dubrovin
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A characterization of the centroid of a prime ring
, 2008We characterize certain maps by their action on a fixed polynomial in noncommuting variables on algebras satisfying certain d -freeness condition. Consequently, a characterization of the centroid of a prime ring is obtained.
Dominik Benkovič, D. Eremita, J. Vukman
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Synthesis of the hepatocarcinogen N‐methyl‐4‐aminoazobenzene with tritium in the prime ring
, 1969The new compound N-methyl-4-nitrosoacetanilide was coupled with aniline-3H (ring-G) in ethanol-acetic acid and the resulting azoamide was hydrolyzed in alkali to give a high yield of N-methyl-4-aminoazobenzene labelled in the prime ring.
Jen-kun Lin, J. Miller
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