Results 51 to 60 of about 33,238 (212)

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

Bulletin of the London Mathematical Society, EarlyView.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +1 more source

On transitivity-like properties for torsion-free Abelian groups

Forum Mathematicum, 2022
Abstract We study some close relationships between the classes of transitive, fully transitive and Krylov transitive torsion-free Abelian groups. In addition, as an application of the achieved assertions, we resolve some old-standing problems, posed by Krylov, Mikhalev and Tuganbaev in their monograph [P. A. Krylov, A. V. Mikhalev and A.
Chekhlov, Andrey R., Danchev, Peter V., Keef, Patrick W.   +2 more
openaire   +4 more sources

Abelian Livšic theorems for Anosov flows

Bulletin of the London Mathematical Society, EarlyView.
Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
wiley   +1 more source

The classification problem for extensions of torsion-free abelian groups, I [PDF]

, 2022
Martino Lupini
openalex   +1 more source

Invariant Characterization of Scalar Second‐Order ODEs That Admit Three Point Symmetry Lie Algebra via Cartan's Equivalence Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 435-444, 15 January 2026.
ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik, Marwan Aloqeili, Omar A. Abuloha, Batoul M. Raddad, Sondos R. Khalil, F. M. Mahomed   +5 more
wiley   +1 more source

On Algebraic and Definable Closures for Theories of Abelian Groups

Известия Иркутского государственного университета: Серия "Математика"
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj   +1 more source

A categorical interpretation of continuous orbit equivalence for partial dynamical systems

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3637-3656, December 2025.
Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
wiley   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
wiley   +1 more source

The flat cover conjecture for monoid acts

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley   +1 more source