Algebraic Entropy in Locally Linearly Compact Vector Spaces

DOI10.1007/978-3-319-65874-2_6zbMath1391.37005arXiv1612.01899OpenAlexW2619632361MaRDI QIDQ4639005

Anna Giordano Bruno, Ilaria Castellano

Publication date: 2 May 2018

Published in: Rings, Polynomials, and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01899

zbMATH Keywords

algebraic entropyalgebraic dynamical systemcontinuous linear transformationcontinuous endomorphismlinearly compact vector space

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Linear transformations, semilinear transformations (15A04) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) General properties and structure of LCA groups (22B05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (15)

Topological entropy for locally linearly compact vector spaces ⋮ Weakly weighted generalised quasi-metric spaces and semilattices ⋮ Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups ⋮ Unnamed Item ⋮ Algebraic Entropy in Locally Linearly Compact Vector Spaces ⋮ The ideal entropy of BCI-algebras and its application in the binary linear codes ⋮ Inertial properties in groups ⋮ Algebraic entropy on topologically quasihamiltonian groups ⋮ The corank of a flow over the category of linearly compact vector spaces ⋮ A property of the lamplighter group ⋮ Topological entropy for locally linearly compact vector spaces and field extensions ⋮ Algebraic entropy on strongly compactly covered groups ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ Generalized quasi-metric semilattices ⋮ Intrinsic entropy for generalized quasimetric semilattices

Cites Work

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