Results 191 to 200 of about 272,600 (222)

Semigroup extensions of Abelian topological groups

Semigroup Forum, 2018
In the paper it is stated that a topological group is called \textit{absolutely closed} if it is closed in every topological group containing it as a subgroup; and a topological group is absolutely closed if and only if it is complete [\textit{D. Raikov}, Izv. Akad. Nauk SSSR, Ser. Mat. 10, 513--528 (1946; Zbl 0061.04206)]. Given a topological group $G$
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A New Invariant for Tame, Abelian Extensions

Journal of the London Mathematical Society, 1990
Suppose \(K| \mathbb Q\) is tame and abelian with \(\Gamma =\text{Gal}(K| \mathbb Q)\). Let \(\mathfrak O_ K\) denote the ring of algebraic integers in \(K\). Then a basis of \(\mathfrak O_ K\) exists (over \(\mathbb Z\)), consisting of the conjugates of a single element, that is \({\mathfrak O}_ K=a.\mathbb Z\Gamma\) for some \(a\in {\mathfrak O}_ K\).
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Abelian Extensions with Restricted Ramification — Abelian Closure

2003
This chapter deals with the correspondence of class field theory both for finite and infinite extensions; this second aspect, obtained by limiting processes, will enable us to understand the structure of the maximal abelian extension of a number field K (Section 4 of the present chapter).
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Minimal Triangular Structures on Abelian Extensions

Algebras and Representation Theory
In this paper, the authors study minimal triangular structures on abelian extensions to explore the construction of minimal triangular semisimple Hopf algebras. They give some necessary conditions for the existence of minimal triangular structures on some abelian extensions, and consider how to construct such minimal triangular structures.
Zhang, Hong Fei, Zhou, Kun
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Non-abelian extensions of pre-Lie algebras

Communications in Algebra, 2023
Lina Song
exaly  

On the quasitriangular structures of abelian extensions of ℤ2

Communications in Algebra, 2021
Gongxiang Liu
exaly  

K-Groups of Trivial Extensions and Gluings of Abelian Categories

Mathematics, 2021
Qinghua Chen
exaly  

Abelian Extension

2004
Steven Duplij, Martin Schlichenmaier, Rolf Schimmrigk   +2 more
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Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems

Mathematics, 2023
Qiang Li, Lili Ma
exaly  

A classification of Abelian extensions of rings

Mathematical Journal of Okayama University, 1981
Ferrero, Miguel, Kishimoto, Kazuo
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