Algebraic entropies of commuting endomorphisms of torsion abelian groups

Andrzej Bis; Dikran Dikranjan; Anna Giordano Bruno; Luchezar Stoyanov

doi:10.4171/RSMUP/55

Algebraic entropies of commuting endomorphisms of torsion abelian groups

Andrzej Bis, Dikran Dikranjan, Anna Giordano Bruno, Luchezar Stoyanov

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy and the algebraic receptive entropy, showing that the latter one takes finite positive values in many cases when the former one vanishes.

Original language	English
Pages (from-to)	45-60
Number of pages	16
Journal	Rendiconti del seminario matematico della universita di padova
Volume	144
DOIs	https://doi.org/10.4171/RSMUP/55
Publication status	Published - 2020

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title = "Algebraic entropies of commuting endomorphisms of torsion abelian groups",

abstract = "For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy and the algebraic receptive entropy, showing that the latter one takes finite positive values in many cases when the former one vanishes.",

keywords = "Algebraic entropy, receptive entropy, regular system, abelian group, torsion abelian group, p-group",

author = "Andrzej Bis and Dikran Dikranjan and Bruno, {Anna Giordano} and Luchezar Stoyanov",

year = "2020",

doi = "10.4171/RSMUP/55",

language = "English",

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T1 - Algebraic entropies of commuting endomorphisms of torsion abelian groups

AU - Bis, Andrzej

AU - Dikranjan, Dikran

AU - Bruno, Anna Giordano

AU - Stoyanov, Luchezar

PY - 2020

Y1 - 2020

N2 - For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy and the algebraic receptive entropy, showing that the latter one takes finite positive values in many cases when the former one vanishes.

AB - For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy and the algebraic receptive entropy, showing that the latter one takes finite positive values in many cases when the former one vanishes.

KW - Algebraic entropy

KW - receptive entropy

KW - regular system

KW - abelian group

KW - torsion abelian group

KW - p-group

U2 - 10.4171/RSMUP/55

DO - 10.4171/RSMUP/55

M3 - Article

SN - 0041-8994

VL - 144

SP - 45

EP - 60

JO - Rendiconti del seminario matematico della universita di padova

JF - Rendiconti del seminario matematico della universita di padova

ER -

Algebraic entropies of commuting endomorphisms of torsion abelian groups

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