Results 51 to 60 of about 30,150 (231)

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
doaj   +2 more sources

Galois ring isomorphism problem

CoRR, 2020
Recently, Doröz et al. (2017) proposed a new hard problem, called the finite field isomorphism problem, and constructed a fully homomorphic encryption scheme based on this problem. In this paper, we generalize the problem to the case of Galois rings, resulting in the Galois ring isomorphism problem.
openaire   +2 more sources

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, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

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
doaj   +1 more source

Galois Theory of Simple Rings [PDF]

Transactions of the American Mathematical Society, 1952
Introduction. The outer Galois theory, started by Jacobson [8], has been developed rather thoroughly [2; 3; 6; 12; 16]. The general Galois theory, dealing with general groups of automorphisms (with some restrictions though), has been established by Cartan [51 and Jacobson [9] in case of sfields.
openaire   +1 more source

Physiologically Based Pharmacokinetic Modeling of Elexacaftor/Tezacaftor/Ivacaftor in Infants With Cystic Fibrosis

CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 6, June 2026.
ABSTRACT Ivacaftor is the only cystic fibrosis transmembrane conductance regulator modulator approved for infants ≥ 1 month. The elexacaftor/tezacaftor/ivacaftor combination, approved for children aged ≥ 2 years, has been shown to significantly slow CF progression.
Ngoc Hoa Truong, Sihem Benaboud, Naïm Bouazza, Eric Deneuville, Anne Mornand, Philippe Reix, Mélanie Ribault, Pierre‐Régis Burgel, Léo Froelicher‐Bournaud, Steeve Rouillon, Mohammed Rohi Sanoufi, Gabrielle Lui, Saïk Urien, Jean‐Marc Tréluyer, Isabelle Sermet‐Gaudelus, Frantz Foissac, Modul‐CF study group, Melissa Baravalle, Mahassen Barboura, Lilia Benhalla, Khadidja Bennour, Katia Bessaci, Antoine Bessou, Thiphaine Bihouée, Anne‐Sophie Bonnel, Nesrine Bouleghem, Stéphanie Bui, Frédérique Chedevergne, Harriet Corvol, Laure Cosson, Laure Couderc, Marie‐Laure Dalphin, Paola De Carli, Eric Deneuville, Pierre Foucaud, Asma Gabsi, Elsa Gachelin, Fatiha Hassani, Véronique Houdouin, Frédéric Huet, Marie Jamin, Kadiatou Kaba, Guillaume Labbé, Jane Languepin, Muriel Laurans, Cathy Léréna, Alexia Letierce, Clotilde Livrozet, Christophe Marguet, Laurent Mély, Rania Messaoudi, Marie Mittaine, Camille Ohlmann, Caroline Périsson, Thomas Perrin, Carole Piccini‐Bailly, Cinthia Rames, Philippe Reix, Natascha Rémus, Anna Ronayette, Djouher Sahki, Manuela Scalbert, Isabelle Sermet, Floriane Socchi, Nathalie Stremler, Aurélie Tatopoulos, Guillaume Thouvenin, Tom Toin, Françoise Troussier, Laurence Weiss, Marie‐Christine Werck‐Galois, Nathalie Wizla   +71 more
wiley   +1 more source

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
doaj   +1 more source

Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles

Software: Practice and Experience, Volume 56, Issue 6, Page 615-642, June 2026.
ABSTRACT The ability to reliably explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably without redundant information, called minimal explanations.
John Törnblom, Emil Karlsson, Simin Nadjm‐Tehrani   +2 more
wiley   +1 more source

Galois Theory for H-extensions and H-coextensions [PDF]

, 2011
We show that there exists a Galois correspondence between subalgebras of an H-comodule algebra A over a base ring R and generalised quotients of a Hopf algebra H.
Marciniak, Dorota, Szamotulski, Marcin
core  

The slice Burnside ring and the section Burnside ring of a finite group

, 2011
This paper introduces two new Burnside rings for a finite group $G$, called the slice Burnside ring and the section Burnside ring. They are built as Grothendieck rings of the category of morphisms of $G$-sets, and of Galois morphisms of $G$-sets ...
Bouc, Serge
core   +1 more source