Algebraic entropies of commuting endomorphisms of torsion abelian groups

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

doi:10.4171/rsmup/55

JournalsrsmupVol. 144pp. 45–60

Algebraic entropies of commuting endomorphisms of torsion abelian groups

Andrzej Biś
Unicersity of Łódź, Poland
Dikran Dikranjan
Università di Udine, Italy
- MathSciNet
- zbMATH Open
Anna Giordano Bruno
Università di Udine, Italy
- zbMATH Open
Luchezar Stoyanov
The University of Western Australia, Perth, Australia
- MathSciNet
- zbMATH Open

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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.

Cite this article

Andrzej Biś, Dikran Dikranjan, Anna Giordano Bruno, Luchezar Stoyanov, Algebraic entropies of commuting endomorphisms of torsion abelian groups. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 45–60

DOI 10.4171/RSMUP/55