Results 41 to 50 of about 271 (183)
A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids [PDF]
Categories and General Algebraic Structures with Applications, 2016 This paper is a chronological survey, with no proofs, of a direction in categorical algebra, which is based on categorical Galois theory and involves generalized central extensions, commutators, and internal groupoids in Barr exact Mal’tsev and more ...
George Janelidze
doaj
On free ring extensions of degree n
International Journal of Mathematics and Mathematical Sciences, 1981 Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of B), and {1,x…,xn−1} is a basis.
George Szeto
doaj +1 more source
Computing Bonds Between Formal Contexts
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11661-11677, 30 July 2026.ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source
Transactions of the London Mathematical Society, 2019 Recently, there has been much interest in studying the torsion subgroups of elliptic curves base‐extended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when ...
Harris B. Daniels +2 more
doaj +1 more source
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
wiley +1 more source
Galois Theory of Hopf Galois Extensions
, 2009 Section 5 removed. Shorter lattice theoretic introduction. Same main results.
Marciniak, Dorota, Szamotulski, Marcin
openaire +2 more sources
Galois cohomology of biquadratic extensions
Commentarii Mathematici Helvetici, 1993 Let \(F\) be a field of characteristic different from 2, and let \(\Gamma\) be the Galois group of the separable algebraic closure \(\overline{F}\) over \(F\). Let \(\Lambda\) be the field of two elements, considered as a \(\Gamma\)-module by the trivial action of \(\Gamma\); and if \(K\) is a subfield of \(\overline{F}\) which is a normal, finite ...
Tignol, J.-P., Merkurjev, A.S.
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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
doaj +1 more source
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
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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