Results 51 to 60 of about 214 (172)
On local Galois deformation rings: generalised tori
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
doaj +1 more source
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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On the Galois cohomology of dedekind rings
AbstractLet R be a Dedekind domain, G a finite group of automorphisms of R, and A an ambiguous ideal of R i.e., σA = A for all σ ∈ G. The Tate groups Hn(G, A) are considered as RG-modules. A localization theorem is proved and the precise RG-module structure determined in a particular case.
openaire +2 more sources
Prismatic F‐crystals and Wach modules
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley +1 more source
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 +71 more
wiley +1 more source
The study of finite extension of Galois rings in the recent past have given rise to commutative completely primary finite rings that have attracted much attention as they have yielded important results towards classification of finite rings into well ...
Hezron Were +3 more
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Galois-Azumaya extensions and the Brauer-Galois group of a commutative ring
We attach to any commutative ring R a subgroup of the Brauer group of R, called the Brauer-Galois group of R. Its elements are the classes of the Azumaya R-algebras which can be represented, via Brauer equivalence, by a Galois extension of R. We compute this group for some particular commutative fields.
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Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles
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 +2 more
wiley +1 more source
On graph spectra for finite upper half planes over Galois rings
We introduce the finite upper half planes over Galois rings and we investigate the structure of the association schemes attached to the planes. As a consequence, it is shown that the graphs obtained from the upper half planes are not Ramanujan except for
Makoto Tagami
doaj +1 more source
On generalized quaternion algebras
Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
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