Algebraically compact abelian -groups

EI Kompantseva, TQT Nguyen - Chebyshevskii sbornik, 2019 - mathnet.ru
… An abelian group $G$ such that every (associative) ring with additive group $G$ is an $SI$-ring
(a hamiltonian ring) is called an $SI$-group (an $SI_H$-group). In this paper, $TI$-groups …

The Classification of Torsion-free -Groups

RR Andruszkiewicz, M Woronowicz - Algebra Colloquium, 2022 - World Scientific
… It is also proved that, for torsion-free abelian groups that are not associative nil, the … TI-groups
studied recently also by Kompantseva and Nguyen in the context of algebraically compact

Rings on Abelian torsion-free groups of finite rank

EI Kompantseva, AA Tuganbaev - Beiträge zur Algebra und Geometrie …, 2022 - Springer
… In the class of reduced Abelian torsion-free groups G of finite rank, we describe TI-groups,
this means … and Nguyen (2019), TI-groups are described in the class of algebraically compact

Алгебраически компактные абелевы TI-группы

ЕИ Компанцева, ТКЧ Нгуен - Чебышевский сборник, 2020 - chebsbornik.ru
Algebraically compact abelian TI-groups … In this paper, TI-groups, as well as SI-groups
and SIH-groups are described in the class of reduced algebraically compact abelian groups. …

Filial rings on direct sums and direct products of torsion-free abelian groups

EI Kompantseva, NTQ Trang, VA Gazaryan - Chebyshevskii sbornik, 2021 - chebsbornik.ru
… If every (associative) ring on an abelian group G is an SI-ring (a hamiltonian ring), then G
is … , TI-groups, SI_H-groups and SI-groups are described in the following classes of abelian

Алгебраически компактные абелевы тi-группы

ЕИ Компанцева, ТКЧ Нгуен - Чебышевский сборник, 2019 - cyberleninka.ru
… , 𝑇𝐼-groups, as well as 𝑆𝐼-groups and 𝑆𝐼𝐻-groups are described in the class of reduced
algebraically compact abelian … In this paper, TI-groups, as well as <S7-groups and SIh-groups …

Dimensional dual hyperovals and APN functions with translation groups

U Dempwolff, Y Edel - Journal of Algebraic Combinatorics, 2014 - Springer
… As T is commutative we have 0=x 1 στ+x 1 τσ=x 2 +x 2 τ hence C U (τ)⊇<x 1 ,x 2 ,Y>, a …
We know that TN/N is an elementary abelian TI group such that C G/N (TN/N)=TN/N (see the …

[HTML][HTML] Matrix of Rotation Symmetric Boolean Functions and its Eigenvalues

ME ALBRIZZIO - asc.ohio-state.edu
algebraic structure of repeated-root $\lambda$ -constacyclic codes of prime power length
$p^s$ over a finite commutative … ) duo graph magma algebra is commutative. We do not know …

Exceptional groups of Lie type as Galois groups.

G Malle - 1988 - degruyter.com
… can contain these large cyclic ti-groups, so that the question … (T\ and <Γ, Ό is an abelian
π-Hall subgroup for the same π s … reductive algebraic group over the algebraic closure of the …

The structure of non-nilpotent CTI-groups

H Mousavi, T Rastgoo, V Zenkov - Journal of Group Theory, 2013 - degruyter.com
abelian subgroups are TI-subgroups. In [13], G. Walls classified the TI-groups. S. Li and X. …
Also we prove that these groups are necessarily solvable with elementary abelian center. Next…