When the intrinsic algebraic entropy is not really intrinsic

• Autorzy: Brendan Goldsmith , Luigi Salce
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Abelian groups; intrinsic algebraic entropy; fully inert subgroups

• Wydawca: De Gruyter Open
• Czasopismo: Topological Algebra and its Applications
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2014-08-20

zaakceptowano

2015-08-16

online

2015-10-19

Twórcy

autor

Brendan Goldsmith

• Dublin Institute of Technology, Aungier Street, Dublin 2, Ireland

autor

Luigi Salce

• Dipartimento di Matematica, Universitá di Padova, Via Trieste 63, 35121 Padova, Italy, E-mail: [e-mail]
  Supported by "Progetti di Eccellenza 2011/12" of Fondazione CARIPARO

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Identyfikatory

DOI

10.1515/taa-2015-0005