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Current Trends in the Management of Hiatal Hernia: A Literature Review of 10 Years of Data. [PDF]
Singhal VK+3 more
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Enhancing IoT security in smart grids with quantum-resistant hybrid encryption. [PDF]
Xiong J, Shen L, Liu Y, Fang X.
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Ultra-low loss silicon nitride becomes even cooler. [PDF]
Tan DTH, Chia XX.
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In silico exploration of natural xanthone derivatives as potential inhibitors of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) replication and cellular entry. [PDF]
Obakachi VA+3 more
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Non-reciprocal response in silicon photonic resonators integrated with 2D CuCrP<sub>2</sub>S<sub>6</sub> at short-wave infrared. [PDF]
Dushaq G+3 more
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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
W. S. Martindale rd, Matej Brešar
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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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1991
In commutative ring theory, three basic classes of rings are: reduced rings, integral domains, and fields. The defining conditions for these classes do not really make any use of commutativity, so by using exactly the same conditions on rings in general, we can define (and we have defined) the notions of reduced rings, domains, and division rings ...
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In commutative ring theory, three basic classes of rings are: reduced rings, integral domains, and fields. The defining conditions for these classes do not really make any use of commutativity, so by using exactly the same conditions on rings in general, we can define (and we have defined) the notions of reduced rings, domains, and division rings ...
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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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