Results 61 to 70 of about 17,375 (238)
A sharp Bogomolov-type bound [PDF]
, 2012 We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties. This uses and generalises a result of Galateau.
Checcoli, Sara +2 more
core
, 2006 We exhibit a subset of a finite Abelian group, which tiles the group by translation, and such that its tiling complements do not have a common spectrum (orthogonal basis for their L-2 space consisting of group characters).
Kolountzakis, M. N., Matolcsi, Máté
core +1 more source
Basic subgroups in abelian group rings [PDF]
, 2002 summary:Suppose $R$ is a commutative ring with identity of prime characteristic $p$ and $G$ is an arbitrary abelian $p$-group. In the present paper, a basic subgroup and a lower basic subgroup of the $p$-component $U_p(RG)$ and of the factor-group $U_p ...
Danchev, Peter V.
core +1 more source
On the Positive Definite Lattice with Determinant 5
AxiomsThis paper is devoted to providing a classification of positive definite lattices with determinant 5 and a rank less than or equal to 6.
Libo Zhao +3 more
doaj +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Spanning subsets of a finite abelian group of order pq [PDF]
, 2009 Let G be a finite abelian group, and let S µ G be a subset of distinct nonzero elements of G. If each element g 2 G of the group can be written as a nonempty sum of elements from S, then we say S spans G nontrivially.
Eyl, Jennifer S. +1 more
core
Every finite abelian group is the group of rational points of an ordinary abelian variety over F2, F3 and F5 [PDF]
, 2023 We show that every finite abelian group occurs as the group of rational points of an ordinary abelian variety over F2, F3 and F5. We produce partial results for abelian varieties over a general finite field Fq. In particular, we show that certain abelian
Marseglia, Stefano, Springer, Caleb
core +2 more sources
Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups
Axioms, 2019 Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that ...
Veronika Pitrová
doaj +1 more source
A Class Of Abelian Groups [PDF]
Canadian Journal of Mathematics, 1956 1. Introduction. If M is any finite set we define a chain on M as a mapping f of M into the set of ordinary integers. If a ∈ M then f(a) is the coefficient of a in the chain f. The set of all a ∈ M such that f(a) ≠ 0 is the domain |f| of f. If |f| is null, that is if f(a) = 0 for all a, then f is the zero chain on M.
openaire +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source