Elementary equivalence of endomorphism rings and automorphism groups of periodic Abelian groups [PDF]
Journal of AlgebraIn this paper, we prove that the endomorphism rings End A and End A' of periodic infinite Abelian groups A and A' are elementarily equivalent if and only if the endomorphism rings of their p-components are elementarily equivalent for all primes p. Additionally, we show that the automorphism groups Aut A and Aut A' of periodic Abelian groups A and A ...
E. I. Bunina
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Polynomial Volume Growth of Quasi-Unipotent Automorphisms of Abelian Varieties (with an Appendix in Collaboration with Chen Jiang) [PDF]
International mathematics research notices, 2022 Let $X$ be an abelian variety over an algebraically closed field $\textbf{k}$ and $f$ a quasi-unipotent automorphism of $X$. When $\textbf{k}$ is the field of complex numbers, Lin, Oguiso, and D.-Q.
Fei Hu
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Endomorphism rings and automorphism groups of separable torsion-free modules over valuation domains
, 2021 Brendan Goldsmith, Paolo Zanardo
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Endomorphisms of Some Groupoids of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2020 Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
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Inertial properties in groups [PDF]
International Journal of Group Theory, 2018 Let $G$ be a group and $p$ be an endomorphism of $G$. A subgroup $H$ of $G$ is called $p$-inert if $H^pcap H$ has finite index in the image $H^p$. The subgroups that are $p$-inert for all inner automorphisms of $G$ are widely known and studied in ...
Ulderico Dardano +2 more
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On the Rank of Monoids of Endomorphisms of a Finite Directed Path [PDF]
Asian-European Journal of Mathematics, 2021 In this paper we consider endomorphisms of a finite directed path from monoid generators perspective. Our main aim is to determine the rank of the monoid wEnd~ Pn of all weak endomorphisms of a directed path with n vertices, which is a submonoid of the ...
V. H. Fernandes, Tania Paulista
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Mathematics, 2020 This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory.
Alexei Kanel-Belov +6 more
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Adjoint action of automorphism groups on radical endomorphisms, generic equivalence and Dynkin quivers [PDF]
Algebras and Representation Theory, 2010 Let $Q$ be a connected quiver with no oriented cycles, $k$ the field of complex numbers and $P$ a projective representation of $Q$. We study the adjoint action of the automorphism group $\Aut_{kQ} P$ on the space of radical endomorphisms $\radE_{kQ}P$.
Bernt Tore Jensen, Xiuping Su
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On endomorphisms and automorphisms of some pure subgroups of the Baer-Specker group
, 2021 The endomoprhism algebras of certain pure subgroups of the Baer-Specker group are investigated to answer a question of Irwin. Automorphism groups of these Abelian groups are investigated and a realization theme is established.
A. L. S. Corner, Brendan Goldsmith
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Labeled Trees and Localized Automorphisms of the Cuntz Algebras [PDF]
, 2008 We initiate a detailed and systematic study of automorphisms of the Cuntz algebras $\O_n$ which preserve both the diagonal and the core $UHF$-subalgebra.
Conti, Roberto, Szymanski, Wojciech
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