Results 31 to 40 of about 26,376 (196)
The Galois extensions induced by idempotents in a Galois algebra
International Journal of Mathematics and Mathematical Sciences, 2002 Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, eg the central idempotent such that BJg=Beg, and eK=∑g∈K,eg≠1eg for a subgroup K of G.
George Szeto, Lianyong Xue
doaj +1 more source
Four-Fold Formal Concept Analysis Based on Complete Idempotent Semifields
Mathematics, 2021 Formal Concept Analysis (FCA) is a well-known supervised boolean data-mining technique rooted in Lattice and Order Theory, that has several extensions to, e.g., fuzzy and idempotent semirings.
Francisco José Valverde-Albacete +1 more
doaj +1 more source
From Galois to Hopf Galois: theory and practice
, 2014 Hopf Galois theory expands the classical Galois theory by considering the Galois property in terms of the action of the group algebra k[G] on K/k and then replacing it by the action of a Hopf algebra.
Crespo, Teresa +2 more
core +1 more source
The general Ikehata theorem for H-separable crossed products
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
doaj +1 more source
Nonabelian Cohen-Lenstra Heuristics over Function Fields
, 2017 Boston, Bush, and Hajir have developed heuristics, extending the Cohen-Lenstra heuristics, that conjecture the distribution of the Galois groups of the maximal unramified pro-p extensions of imaginary quadratic number fields for p an odd prime.
Boston, Nigel, Wood, Melanie Matchett
core +1 more source
Quantization viewed as Galois extension [PDF]
Progress of Theoretical and Experimental Physics, 2019 17 ...
Sugamoto, Mamoru, Sugamoto, Akio
openaire +2 more sources
On Hopf-Galois extensions of linear categories
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We continue the investigation of H-Galois extensions of linear categories, where H is a Hopf algebra. In our main result, the Theorem 2.2, we characterize this class of extensions in the case when H is finite dimensional.
Stănescu Anca
doaj +1 more source
On wild extensions of a p-adic field
, 2016 In this paper we consider the problem of classifying the isomorphism classes of extensions of degree pk of a p-adic field, restricting to the case of extensions without intermediate fields. We establish a correspondence between the isomorphism classes of
Del Corso, I., Dvornicich, R., Monge, M.
core +1 more source
Interpretations and Differential Galois Extensions
International Mathematics Research Notices, 2016 We give model theoretic accounts and proofs of the existence and uniqueness of differential Galois extensions with no new constants, for logarithmic differential equations over a differential field K, when the field C of constants of K is not necessarily algebraically closed, under a variety of assumptions on C and K.
Kamensky, Moshe, Pillay, Anand
openaire +2 more sources
, 2016 We show that finite Galois extensions with cyclic Galois group are radical.Comment: 1 page.
Suárez-Álvarez, Mariano
core +1 more source