Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Abstract
The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups. For a class of groups containing the groups of finite rank, aswell as those groupswhich are trajectories of finitely generated subgroups, it is proved that only fully inert subgroups of the group itself are needed to comput ent(ɸ). Examples show how the situation may be quite different outside of this class.
DOI
https://doi.org/10.1515/taa-2015-0005
Recommended Citation
Goldsmith, B. & Salce, L. (2019) When the Intrinsic Algebraic Entropy is not Really Intrinsic, opological Algebra and its Applications, Published Online: 2015-10-19 | DOI : 10.1515/taa-2015-0005
Publication Details
Topological Algebra and its Applications,
Published Online: 2015-10-19 | DOI: https://doi.org/10.1515/taa-2015-0005