Results 41 to 50 of about 330 (178)
Structured LDPC Codes over Integer Residue Rings
EURASIP Journal on Wireless Communications and Networking, 2008 This paper presents a new class of low-density parity-check (LDPC) codes over ℤ2a represented by regular, structured Tanner graphs. These graphs are constructed using Latin squares defined over a multiplicative group of a Galois ring, rather than a ...
Marc A. Armand, Elisa Mo
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Coefficient subrings of certain local rings with prime-power characteristic
International Journal of Mathematics and Mathematical Sciences, 1995 If R is a local ring whose radical J(R) is nilpotent and R/J(R) is a commutative field which is algebraic over GF(p), then R has at least one subring S such that S=∪i=1∞Si, where each Si, is isomorphic to a Galois ring and S/J(S) is naturally isomorphic ...
Takao Sumiyama
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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On automorphism group of free quadratic extensions over a ring
International Journal of Mathematics and Mathematical Sciences, 1984 Let R be a ring with 1, ρ an automorphism of R of order 2. Then a normal extension of the free quadratic extension R[x,ρ] with a basis {1,x} over R with an R-automorphism group G is characterized in terms of the element (x−(x)α) for α in G.
George Szeto
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
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On separable abelian extensions of rings
International Journal of Mathematics and Mathematical Sciences, 1982 Let R be a ring with 1, G(=〈ρ1〉×…×〈ρm〉) a finite abelian automorphism group of R of order n where 〈ρi〉 is cyclic of order ni. for some integers n, ni, and m, and C the center of R whose automorphism group induced by G is isomorphic with G.
George Szeto
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Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2021 The principles of poly-parametric information coding have been considered. The methods for developing poly-parametric codes have been presented. It is shown that the protection of block codes from channel interference using check patterns can be ...
Julia Milova, Yuri Melnik
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FuzzyMind: A Web Platform for End‐to‐End Fuzzy Cognitive Map Modeling
Concurrency and Computation: Practice and Experience, Volume 38, Issue 14, July 2026.ABSTRACT Fuzzy cognitive maps (FCMs) are widely used for modeling complex causal systems under uncertainty. However, the FCM development lifecycle, encompassing data preprocessing, model construction, weight optimization, and scenario analysis, is typically fragmented across heterogeneous tools.
Theodoros Tziolas, Elpiniki Papageorgiou
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