Results 41 to 50 of about 11,618,175 (381)
Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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Quartic Fields and Radical Extensions
Journal of Symbolic Computation, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huah Chu, Ming-Chang Kang
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IEEE Access, 2022 This work presents a review of the generalized intersection approach (GIA) for electromagnetic array antenna beam-shaping synthesis. After briefly describing the mechanics of the classical IA, we show the extensions to the IA that make the GIA a more ...
Daniel R. Prado
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Spread decoding in extension fields
Finite Fields and Their Applications, 2014 Submitted for publication to Finite Fields and their Applications (Elsevier)
Felice Manganiello, Anna-Lena Trautmann
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Tree-level S-matrix of superstring field theory with homotopy algebra structure
Journal of High Energy Physics, 2021 We show that the tree-level S-matrices of the superstring field theories based on the homotopy-algebra structure agree with those obtained in the first-quantized formulation. The proof is given in detail for the heterotic string field theory.
Hiroshi Kunitomo
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On matching property for groups and field extensions [PDF]
, 2015 In this paper we prove a sufficient condition for the existence of matchings in arbitrary groups and its linear analogue, which lead to some generalizations of the existing results in the theory of matchings in groups and central extensions of division ...
M. Aliabadi, Majid Hadian, A. Jafari
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Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions [PDF]
International Symposium on Symbolic and Algebraic Computation, 2013 We introduce a method of characteristic sets with respect to several term orderings for difference-differential polynomials. Using this technique, we obtain a method of computation of multivariate dimension polynomials of finitely generated difference ...
A. Levin
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A counterexample to the Nelson-Seiberg theorem
Journal of High Energy Physics, 2020 We present a counterexample to the Nelson-Seiberg theorem and its extensions. The model has 4 chiral fields, including one R-charge 2 field and no R-charge 0 filed.
Zheng Sun, Zipeng Tan, Lu Yang
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Multivariable dimension polynomials and new invariants of differential field extensions
International Journal of Mathematics and Mathematical Sciences, 2001 We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new ...
Alexander B. Levin
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The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions [PDF]
, 2015 Let $F$ be a field of characteristic $p$ and let $E/F$ be a purely inseparable field extension. We study the group $H_p^{n+1}(F)$ of classes of differential forms under the restriction map $H_p^{n+1}(F)\to H_p^{n+1}(E)$ and give a system of generators of
Marco Sobiech
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