Results 11 to 20 of about 12,672,108 (295)
Inertial endomorphisms of an abelian group [PDF]
, 2013 We describe inertial endomorphisms of an abelian group $$A$$A, that is endomorphisms $$\varphi $$φ with the property $$|(\varphi (X)+X)/X|
Ulderico Dardano, Silvana Rinauro
semanticscholar +3 more sources
Entropy on abelian groups [PDF]
Advances in Mathematics, 2016 We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriately modifying existing notions of entropy. The basic properties of the algebraic entropy are given, as well as various examples. The main result of this paper is the Addition Theorem showing that the algebraic entropy is additive in appropriate sense with ...
DIKRANJAN, Dikran, GIORDANO BRUNO, Anna
openaire +4 more sources
On cosmall Abelian groups [PDF]
Journal of Algebra, 2007 AbstractIt is a well-known homological fact that every Abelian group G has the property that Hom(G,−) commutes with direct products. Here we investigate the ‘dual’ property: an Abelian group G is said to be cosmall if Hom(−,G) commutes with direct products.
Goldsmith, Brendan, Kolman, O.
openaire +4 more sources
NagE: Non-Abelian Group Embedding for Knowledge Graphs
International Conference on Information and Knowledge Management, 2020 We demonstrated the existence of a group algebraic structure hidden in relational knowledge embedding problems, which suggests that a group-based embedding framework is essential for designing embedding models.
Tong Yang, Long Sha, Pengyu Hong
semanticscholar +1 more source
Maximal abelian subgroups of the finite symmetric group [PDF]
International Journal of Group Theory, 2021 Let $G$ be a group. For an element $a\in G$, denote by $\cs(a)$ the second centralizer of~$a$ in~$G$, which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$.
Janusz Konieczny
doaj +1 more source
The Baer–Kaplansky Theorem for all abelian groups and modules
Bulletin of Mathematical Sciences, 2022 It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
doaj +1 more source
G-Tutte Polynomials and Abelian Lie Group Arrangements [PDF]
International mathematics research notices, 2017 For a list $\mathcal{A}$ of elements in a finitely generated abelian group $\Gamma $ and an abelian group $G$, we introduce and study an associated $G$-Tutte polynomial, defined by counting the number of homomorphisms from associated finite abelian ...
YE Liu, T. Tran, M. Yoshinaga
semanticscholar +1 more source
The equivariant complex cobordism ring of a finite abelian group [PDF]
, 2015 We compute the equivariant (stable) complex cobordism ring $(MU_G)_*$ for finite abelian groups $G$.
William C.Abram, I. Kríz
semanticscholar +1 more source
Classical simulations of Abelian-group normalizer circuits with intermediate measurements [PDF]
Quantum information & computation, 2012 Quantum normalizer circuits were recently introduced as generalizations of Clifford circuits [1]: a normalizer circuit over a finite Abelian group G is composed of the quantum Fourier transform (QFT) over G, together with gates which compute quadratic ...
Juan Bermejo-Vega, M. Nest
semanticscholar +1 more source
Universal abelian groups [PDF]
Israel Journal of Mathematics, 1995 We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example: Theorem: For $n\ge 2$, there is a purely universal separable $p$-group in $\aleph_n$ if, and only if, $\cont\le \aleph_n$.
Menachem Kojman +3 more
openaire +3 more sources