Results 11 to 20 of about 11,280 (228)

Completely decomposable direct summands of torsion-free abelian groups of finite rank [PDF]

, 2017
Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A=B\oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand.
A. Mader, P. Schultz
semanticscholar   +3 more sources

Torsion-free abelian groups are Borel complete [PDF]

Annals of Mathematics, 2018
We prove that the Borel space of torsion-free Abelian groups with domain $ω$ is Borel complete, i.e., the isomorphism relation on this Borel space is as complicated as possible, as an isomorphism relation. This solves a long-standing open problem in descriptive set theory, which dates back to the seminal paper on Borel reducibility of Friedman and ...
Paolini G., Shelah S.
  +8 more sources

Selectively sequentially pseudocompact group topologies on torsion and torsion-free Abelian groups [PDF]

, 2017
A. Dorantes-Aldama, D. Shakhmatov
semanticscholar   +3 more sources

On Quasi-Decompositions of Torsion Free Abelian Groups [PDF]

Proceedings of the American Mathematical Society, 1962
James D. Reid
openaire   +3 more sources

Protori and Torsion-Free Abelian Groups [PDF]

, 2019
The Resolution Theorem for Compact Abelian Groups is applied to show that the profinite subgroups of a finite-dimensional compact connected abelian group (protorus) which induce tori quotients comprise a lattice under intersection (meet) and $+$ (join), facilitating a proof of the existence of a universal resolution.
Wayne Lewis
openaire   +3 more sources

Torsion-free Extensions of Torsion-free Abelian Groups of Finite Rank

, 2009
Duisburg, Essen, Univ., Diss ...
Stefan Friedenberg
openaire   +4 more sources

On Some Results of a Torsion-Free Abelian Trace Group

Recoletos Multidisciplinary Research Journal, 2014
In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
doaj   +1 more source

A Distinguished Subgroup of Compact Abelian Groups

Axioms, 2022
Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan, Wayne Lewis, Peter Loth, Adolf Mader   +3 more
doaj   +1 more source

On the atomic structure of torsion-free monoids [PDF]

Semigroup Forum, 2022
Let M be a cancellative and commutative (additive) monoid. The monoid M is atomic if every non-invertible element can be written as a sum of irreducible elements, which are also called atoms.
F. Gotti, Joseph Vulakh
semanticscholar   +1 more source

Consistency Relations of an Extension Polycyclic Free Abelian Lattice Group by Quaternion Point Group

Journal of Physics: Conference Series, 2021
An extension of a free abelian lattice group by finite group is a torsion free crystallographic group. It expounds its symmetrical properties or known as homological invariants.
Siti Afiqah Mohammad, N. Sarmin, H. I. M. Hassim   +2 more
semanticscholar   +1 more source