English

ERRATA CORRIGE: Intrinsic algebraic entropy

Group Theory 2019-08-27 v1 Commutative Algebra Dynamical Systems Rings and Algebras

Abstract

The notion of intrinsic algebraic entropy of an endomorphism of a given Abelian group has been recently introduced in [D. Dikranjan, A. Giordano Bruno, L. Salce, S. Virili, Intrinsic algebraic entropy, J. Pure Appl. Algebra 219 (2015) 2933-2961]. In this short note we provide a correct argument to prove one of the basic properties of the intrinsic algebraic entropy: the Logarithmic Law. In fact, this property was correctly stated in [op. cit.] but, as we will show with an explicit counterexample, the original proof contains a flaw.

Keywords

Cite

@article{arxiv.1908.09544,
  title  = {ERRATA CORRIGE: Intrinsic algebraic entropy},
  author = {Daniele Toller and Simone Virili},
  journal= {arXiv preprint arXiv:1908.09544},
  year   = {2019}
}

Comments

3 pages

R2 v1 2026-06-23T10:56:37.739Z