Results 11 to 20 of about 252 (156)
Invariants for a class of torsion-free abelian groups [PDF]
Proceedings of the American Mathematical Society, 1989 In this note we present a complete set of quasi-isomorphism invariants for strongly indecomposable abelian groups of the form G = G
Arnold, D., Vinsonhaler, C.
openaire +2 more sources
Indecomposable decompositions of torsion-free abelian groups [PDF]
Journal of Algebra, 2018 An indecomposable decomposition of a torsion-free abelian group $G$ of rank $n$ is a decomposition $G=A_1\oplus\cdots\oplus A_t$ where $A_i$ is indecomposable of rank $r_i$ so that $\sum_i r_i=n$ is a partition of $n$. The group $G$ may have decompositions that result in different partitions of $n$.
Adolf Mader, Phill Schultz
openaire +3 more sources
International Journal of Mathematics and Mathematical Sciences, 2003 Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
doaj +1 more source
A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
Annales Mathematicae Silesianae, 2018 A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
doaj +1 more source
Extensions of group retractions
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper a condition, which is necessary and sufficient, is determined when a retraction of a subgroup H of a torsion-free group G can be extended to a retraction of G.
Richard D. Byrd +3 more
doaj +1 more source
Rings on Abelian torsion-free groups of finite rank [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021 In the class of reduced Abelian torsion-free groups $G$ of finite rank, we describe TI-groups, this means that every associative ring on $G$ is filial. If every associative multiplication on $G$ is the zero multiplication, then $G$ is called a $nil_a$-group.
E. I. Kompantseva, A. A. Tuganbaev
openaire +2 more sources
Structure of Finite-Dimensional Protori
Axioms, 2019 A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj +1 more source
Degrees of orders on torsion-free Abelian groups
Annals of Pure and Applied Logic, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asher M. Kach +2 more
openaire +2 more sources
Jump degrees of torsion-free abelian groups [PDF]
The Journal of Symbolic Logic, 2012 AbstractWe show, for each computable ordinal α and degree a > 0(α), the existence of a torsion-free abelian group with proper αth jump degree a.
Brooke M. Andersen +3 more
openaire +3 more sources
General relativity as a biconformal gauge theory
Nuclear Physics B, 2019 We consider the conformal group of a space of dimn=p+q, with SO(p,q) metric. The quotient of this group by its homogeneous Weyl subgroup gives a principal fiber bundle with 2n-dim base manifold and Weyl fibers.
James T. Wheeler
doaj +1 more source