Results 51 to 60 of about 12,672,108 (295)
c-Regular cyclically ordered groups [PDF]
, 2013 We define and we characterize regular and c-regular cyclically ordered abelian groups. We prove that every dense c-regular cyclically ordered abelian group is elementarily equivalent to some cyclically ordered group of unimodular complex numbers, that ...
Leloup, Gérard, Lucas, Francois
core
Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis
Advanced Science, EarlyView.In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley +1 more source
Freiman's theorem in an arbitrary abelian group [PDF]
, 2005 A famous result of Freiman describes the structure of finite sets A ⊆ ℤ with small doubling property. If |A + A| ⩽ K|A|, then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|.
B. Green, I. Ruzsa
semanticscholar +1 more source
Fuchs' problem for indecomposable abelian groups
, 2015 More than 50 years ago, Laszlo Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open.
Chebolu, Sunil K., Lockridge, Keir
core +1 more source
Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Advanced Science, EarlyView.In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
wiley +1 more source
Note on the space group selection rule for closed strings on orbifolds
Journal of High Energy Physics, 2019 It is well-known that the space group selection rule constrains the interactions of closed strings on orbifolds. For some examples, this rule has been described by an effective Abelian symmetry that combines with a permutation symmetry to a non-Abelian ...
Saúl Ramos-Sánchez +1 more
doaj +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Harmonic Synthesis on Group Extensions
MathematicsHarmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L.
László Székelyhidi
doaj +1 more source
Surface links with free abelian link groups
, 2012 It is known that if a classical link group is a free abelian group, then its rank is at most two. It is also known that a $k$-component 2-link group ($k>1$) is not free abelian.
Nakamura, Inasa
core +1 more source
On the section conjecture over fields of finite type
Mathematische Nachrichten, EarlyView.Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley +1 more source