Results 1 to 10 of about 33,361 (153)

Solving logistic tasks by parallelizing algorithms of the theory of direct decompositions of torsion-free abelian groups [PDF]

E3S Web of Conferences, 2023
The paper considers the principles of parallelization at marshalling yards and determines their importance. There are presented the methods for direct decompositions of torsion-free Abelian groups of finite rank.
Blagoveshchenskaya E., Gruzdev N., Zuev D.   +2 more
doaj   +2 more sources

A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three [PDF]

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   +2 more sources

Quasi-bialgebra Structures and Torsion-free Abelian Groups [PDF]

, 2013
We describe all the quasi-bialgebra structures of a group algebra over a torsion-free abelian group. They all come out to be triangular in a unique way. Moreover, up to an isomorphism, these quasi-bialgebra structures produce only one (braided) monoidal ...
Alessandro Ardizzoni, Daniel Bulacu, Claudia Menini   +2 more
openalex   +3 more sources

Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups

Le Matematiche, 2006
Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.
Peter Danchev
doaj   +1 more source

On Undecidability of Finite Subsets Theory for Torsion Abelian Groups

Mathematics, 2022
Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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 Some Results of a Torsion-Free Abelian Kernel Group

Recoletos Multidisciplinary Research Journal, 2014
In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
doaj   +1 more source

On the Classification Problem for Rank 2 Torsion-Free Abelian Groups [PDF]

, 2000
We study here some foundational aspects of the classification problem for torsion-free abelian groups of finite rank. These are, up to isomorphism, the subgroups of the additive groups (Q^n, +), for some n = 1, 2, 3,....
Kechris, Alexander S.
core   +2 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

Monotone-light factorisation systems and torsion theories [PDF]

, 2013
Given a torsion theory (Y,X) in an abelian category C, the reflector I from C to the torsion-free subcategory X induces a reflective factorisation system (E, M) on C. It was shown by A. Carboni, G.M. Kelly, G. Janelidze and R.
Everaert, Tomas, Gran, Marino
core   +1 more source