Results 41 to 50 of about 30,150 (231)
Suitability of Generalized GAROs on FPGAs as PUFs or TRNGs Considering Spatial Correlations
IEEE Open Journal of the Industrial Electronics Society, 2023 In the last years, guaranteeing the security in Internet of things communications has become an essential task. In this article, the bias of a wide set of oscillators has been studied to determine their suitability as both true random number generators ...
Miguel Garcia-Bosque +4 more
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Algebra and Logic, 2015 Let R and R (phi) be associative rings with isomorphic subring lattices and phi be a lattice isomorphism (a projection) of the ring R onto the ring R (phi) . We call R (phi) the projective image of a ring R and call the ring R itself the projective preimage of a ring R (phi) . We study lattice isomorphisms of Galois rings.
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On the Galois Theory of Division Rings [PDF]
Proceedings of the American Mathematical Society, 1959 1. Throughout this paper, K will represent a division ring and L a galois division subring. We are interested in establishing a galois theory for the extension K/L when K/L is locally finite. In order to do this one must identify the galois subrings of K containing L. An example given by Jacobson [4] shows that not every such division subring is galois.
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The general Ikehata theorem for H-separable crossed products
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
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Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]
Компьютерная оптика, 2018 The paper proposes a new method for calculating Fourier-Galois transforms (number-theoretical transforms), which are a modular analog of the discrete Fourier transform.
Vladimir Chernov
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International Journal of Mathematics and Mathematical Sciences, 1994 According to general terminology, a ring R is completely primary if its set of zero divisors J forms an ideal. Let R be a finite completely primary ring. It is easy to establish that J is the unique maximal ideal of R and R has a coefficient subring S (i.
Yousif Alkhamees
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Interactive Proofs for Rounding Arithmetic
IEEE Access, 2022 Interactive proofs are a type of verifiable computing that secures the integrity of computations. The need is increasing as more computations are outsourced to untrusted parties, e.g., cloud computing platforms.
Shuo Chen +3 more
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On Azumaya algebras with a finite automorphism group
International Journal of Mathematics and Mathematical Sciences, 2001 Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B=⊕∑g∈GJg where Jg={b∈B|bx=g(x)b for all x∈B}, then there exist orthogonal central idempotents {fi∈C|i=1,2,…,m ...
George Szeto, Lianyong Xue
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ON THE IRREDUCIBLE COMPONENTS OF SOME CRYSTALLINE DEFORMATION RINGS
Forum of Mathematics, Sigma, 2020 We adapt a technique of Kisin to construct and study crystalline deformation rings of $G_{K}$ for a finite extension $K/\mathbb{Q}_{p}$. This is done by considering a moduli space of Breuil–Kisin modules, satisfying an additional Galois condition, over ...
ROBIN BARTLETT
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Polynomial composites and certain types of fields extensions
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions.
Ł. Matysiak
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