Results 41 to 50 of about 12,863,172 (309)
Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization
, 2003 We present non-Abelian gaugings of supermembrane for general isometries for compactifications from eleven-dimensions, starting with Abelian case as a guide.
Aganagic +18 more
core +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
The Capacity of Finite Abelian Group Codes Over Symmetric Memoryless Channels
IEEE Transactions on Information Theory, 2009 The capacity of finite Abelian group codes over symmetric memoryless channels is determined. For certain important examples, such as m -PSK constellations over additive white Gaussian noise (AWGN) channels, with m a prime power, it is shown that this ...
G. Como, F. Fagnani
semanticscholar +1 more source
Representation of Finite Abelian Group Elements by Subsequence Sums [PDF]
, 2008 Let $G\cong C_{n_1}\oplus ... \oplus C_{n_r}$ be a finite and nontrivial abelian group with $n_1|n_2|...|n_r$. A conjecture of Hamidoune says that if $W=w_1...
D. Grynkiewicz, L. Marchan, Oscar Ordaz
semanticscholar +1 more source
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
Simplicity of skew group rings of abelian groups
, 2012 Given a group G, a (unital) ring A and a group homomorphism $\sigma : G \to \Aut(A)$, one can construct the skew group ring $A \rtimes_{\sigma} G$. We show that a skew group ring $A \rtimes_{\sigma} G$, of an abelian group G, is simple if and only if its
Öinert, Johan
core +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
From free abelian groups to free abelian ℓ-groups
Mathematica Slovaca, 2011 Abstract For each n, the free abelian group F on countably many free generators will be equipped with a monoid P n making (F,P n) into the free n-generator abelian ℓ-group. This is a generalization of the main result of the second author, published in the J. Pure Appl.
MUNDICI, DANIELE, J. Kuehr
openaire +2 more sources
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
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, EarlyView.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source