Adjoint algebraic entropy.

DOI10.1016/j.jalgebra.2010.03.025zbMath1201.20053arXiv1006.5204OpenAlexW1965351940MaRDI QIDQ986525

Luigi Salce, Dikran Dikranjan, Anna Giordano Bruno

Publication date: 11 August 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5204

zbMATH Keywords

endomorphism ringsendomorphismssubgroups of finite indexPontryagin dualityadjoint algebraic entropybounded Abelian groups

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (19)

Entropy on abelian groups ⋮ Topological entropy for locally linearly compact vector spaces ⋮ STRING NUMBERS OF ABELIAN GROUPS ⋮ A soft introduction to algebraic entropy ⋮ Weakly weighted generalised quasi-metric spaces and semilattices ⋮ New and old facts about entropy in uniform spaces and topological groups ⋮ The addition theorem for two-step nilpotent torsion groups ⋮ Adjoint entropy vs topological entropy ⋮ The connection between topological and algebraic entropy ⋮ Functorial topologies and finite-index subgroups of Abelian groups ⋮ On Adjoint Entropy of Abelian Groups ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ Length functions, multiplicities and algebraic entropy ⋮ Inertial properties in groups ⋮ STRINGS OF GROUP ENDOMORPHISMS ⋮ On uniformly fully inert subgroups of abelian groups ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ The Mal'cev Rank for Modules over Pseudo-Valuation Domains ⋮ Intrinsic entropy for generalized quasimetric semilattices

Cites Work

• Scale function vs topological entropy
• Sui gruppi abeliani ridotti che ammettono una unica topologia compatta
• Abelian groups of zero adjoint entropy
• Algebraic Entropy of Shift Endomorphisms on Abelian Groups
• Algebraic entropy for Abelian groups
• Algebraic and other entropies of group endomorphisms
• Topological Entropy
• Algebraic Entropy of Generalized Shifts on Direct Products
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Adjoint algebraic entropy.