Results 91 to 100 of about 272,600 (222)
Universal properties of Delannoy categories
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier +2 more
wiley +1 more source
Universal central extensions in peri-abelian categories
, 2013 We clarify the relation between Bourn's notion of peri-abelian category on the one hand and coincidence of the Smith, Huq and Higgins commutators on the other.
Van Der Linden, Tim +1 more
core
Universal co-Extensions of torsion abelian groups [PDF]
, 2023 In [16], a theory of universal extensions in abelian categories is developed; in particular, the notion of Ext-universal object is presented. In the present paper, we show that an Ab3 abelian category which is Ext-small satisfies the Ab4 condition if ...
Argudín-Monroy, Alejandro +1 more
core
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
A note on the normality of unramified, abelian extensions of quadratic extensions
Manuscripta Mathematica, 1979 Let F, K and L be algebraic number fields such that\(F \subseteq K \subseteq L\), [K∶F]=2 and [L∶K]=n. It is a simple consequence of the class field theory that, if L is an abelian, unramified extension of K and (n,h)=1, where h is the class number of F, then L is normal over F. The purpose of this note is to point out the necessity of the condition (n,
Madden, Daniel J., Velez, William Yslas
openaire +1 more source
Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras
AxiomsIn this paper, we introduce two-term differential Leib∞-conformal algebras and give characterizations of some particular classes of such two-term differential Leib∞-conformal algebras.
Hui Wu, Shuangjian Guo, Xiaohui Zhang
doaj +1 more source
Lie algebra extensions and abelian monopoles
Physics Letters B, 1987 Abstract By considering an appropriate exact sequence of Lie algebras and using properties of Lie algebra extensions, we give an abstract algebraic description of the abelian monopole. We show how a sequence of Lie algebras carries a notion of a covariant derivative.
LANDI, GIOVANNI, G. MARMO
openaire +3 more sources
A Lower Bound for the Height in Abelian Extensions
Journal of Number Theory, 2000 It is shown that if \(\alpha\neq 0\) is an element which is not a root of unity, of an abelian extension of the rationals, then its logarithmic height, \(h(\alpha)\) satisfies \(h(\alpha)\geq(\log 5)/12\). This is used to obtain lower bounds for norms and class-numbers in abelian extensions.
AMOROSO F., DVORNICICH, ROBERTO
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On non-abelian extensions of 3-Lie algebras
, 2018 International audienceIn this paper, we study non-abelian extensions of 3-Lie algebras through Maurer-Cartan elements. We show that there is a one-to-one correspondence between isomorphism classes of non-abelian extensions of 3-Lie algebras and ...
Song, Lina +5 more
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Universal central extensions in semi-abelian categories
, 2014 Basing ourselves on Janelidze and Kelly’s general notion of central exten- sion, we study universal central extensions in the context of semi-abelian categories.
Van der Linden, Tim, Casas, José Manuel
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