Results 141 to 150 of about 1,263,781 (250)

The torsion ideal lattice of the endomorphism ring of an abelian p-group

The lattice of ideals of the torsion ideal of the endomorphism ring of an abelian p-group is classified by a system of cardinal invariants.Comment: 12 ...
Schultz, Phill
core  

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

Bosonization of 2+1 dimensional fermions on the surface of topological insulators

Journal of High Energy Physics
Three-dimensional topological insulators can be described by an effective field theory involving two ‘hydrodynamic’ Abelian gauge fields. The action contains a bulk topological BF term and a surface term, called loop model.
Andrea Cappelli, Lorenzo Maffi, Riccardo Villa   +2 more
doaj   +1 more source

Characterizations of rings and modules by means of lattices

, 1965
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
core  

Remarks on the abelian ideals of a Borel subalgebra

, 2013
Let $\frb$ be a fixed Borel subalgebra of a finite-dimensional complex simple Lie algebra $\frg$. The Shi bijection associates to every ad-nilpotent ideal $\fri$ of $\frb$ a region $V_{\fri}$. In this paper, we show that $\fri$ is abelian if and only if $V_{\fri}\cap 2A$ is empty, if and only if the volume of $V_{\fri}\cap 2A$ equals to that of $A ...
openaire   +2 more sources

ISOGENY GRAPHS OF ABELIAN VARIETIES AND SINGULAR IDEALS IN ORDERS

Famously, Kohel proved that isogeny graphs of ordinary elliptic curves are beautifully structured objects, now called volcanos. We prove graph structural theorems for abelian varieties of any dimension with commutative endomorphism ring and containing a ...
Arpin, Sarah, Marseglia, Stefano, Springer, Caleb   +2 more
core  

Free generating sets of lattice-ordered abelian groups

, 2007
We prove that the generators g1,…,gn of a lattice-ordered abelian group G form a free generating set iff each ℓ-ideal generated by any n−1 linear combinations of the gi is strictly contained in some maximal ℓ-ideal of ...
Mundici, Daniele
core   +1 more source

The nature of low-temperature spin-freezing in frustrated Kitaev magnets

Communications Materials
The subtle interplay between competing degrees of freedom, anisotropy, and spin correlations in frustrated Kitaev magnets offers an ideal platform to host non-trivial spin freezing and exotic low-energy excitations.
U. Jena, P. Khuntia
doaj   +1 more source

A Brumer-Stark Conjecture for non-abelian Galois extensions

, 2014
The Brumer-Stark conjecture deals with abelian extensions of number fields and predicts that a group ring element, called the Brumer-Stickelberger element constructed from special values of L-functions associated to the extension, annihilates the ideal ...
Dejou, Gaëlle, Roblot, Xavier-François
core   +1 more source

Lie algebras of derivations with large abelian ideals

, 2019
We study subalgebras L of rank m over R of the Lie algebra Wn(K) with an abelian ideal I ⊂ L of the same rank m over ...
Lysenko, S.V., Klymenko, I.S., Petravchuk, A.   +2 more
core   +1 more source