Results 51 to 60 of about 408 (185)
Motivic homotopical Galois extensions
Topology and its Applications, 2018 We establish a formal framework for Rognes's homotopical Galois theory and adapt it to the context of motivic spaces and spectra. We discuss examples of Galois extensions between Eilenberg-MacLane motivic spectra and between the Hermitian and algebraic K-theory spectra.
Beaudry, Agnès +4 more
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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
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 1997 First, we will give all necessary definitions and theorems. Then the definition of a Hilbert sequence by using a Galois group is introduced. Then by using the Hilbert sequence, we will build tower fields for extension K/k, where K=k(d1,d2) and k=Q for ...
M. Haghighi, J. Miller
doaj +1 more source
Twistings and Hopf Galois Extensions
Journal of Algebra, 2000 Let \(H\) be a Hopf algebra with bijective antipode over a commutative ring \(R\), let \(A\) be a right \(H\)-comodule algebra, and let \(B\) be the subalgebra of \(H\)-coinvariant elements of \(A\). A mapping \(\tau\) of \(H\otimes A\) into \(A\) may be used to define a new multiplication on the \(H\)-comodule \(A\) by the rule: \(a*a'=\sum a_0\tau ...
Beattie, Margaret, Torrecillas, Blas
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Journal of Combinatorial Designs, Volume 34, Issue 7, Page 306-329, July 2026.ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon T ( q 3 , q ) in PG ( 7 , q 3 ). We begin by describing the possible intersections of subspaces of PG ( 7 , q 3 ) with T ( q 3 , q ). Then, we provide conditions on a set of lines ℒ, which ensure that ℒ forms the line set of a naturally embedded ...
Sebastian Petit, Geertrui Van de Voorde
wiley +1 more source
Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
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Bit-Sliced Implementation of SM4 and New Performance Records
IET Information Security, 2023 SM4 is a popular block cipher issued by the Office of State Commercial Cryptography Administration (OSCCA) of China. In this paper, we use the bit-slicing technique that has been shown as a powerful strategy to achieve very fast software implementations ...
Xin Miao +4 more
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On a notion of “Galois closure” for extensions of rings [PDF]
Journal of the European Mathematical Society, 2014 We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an S_n degree n
Bhargava, Manjul, Satriano, Matthew
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On the fixed‐point proportion of self‐similar groups
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
wiley +1 more source
Galois extensions induced by a central idempotent in a partial Galois extension
International Journal of Algebra, 2014 Let (R,α) be a partial Galois extension of RαG with a partial action of a finite group G, e a non-zero central idempotent in R, 1g the central idempotent associated with g ∈ G, and E = e(Πg∈G1g) 6= 0 with a maximal number of factors 1g for g ∈ G. A sufficient condition for a Galois extension Re with Galois group H(e) and for a Galois extension RE with ...
Xiao-Long Jiang, George Szeto
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