Intrinsic valuation entropy

DOI10.1090/conm/730/14717zbMath1423.13112arXiv1711.09080OpenAlexW2963140464MaRDI QIDQ5239173

Simone Virili, Luigi Salce

Publication date: 22 October 2019

Published in: Model Theory of Modules, Algebras and Categories (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09080

zbMATH Keywords

valuation domainendomorphisminert submoduleintrinsic valuation entropy

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Valuation rings (13F30) Module categories and commutative rings (13C60)

Related Items

A property of the lamplighter group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Entropy on abelian groups
• The addition theorem for algebraic entropies induced by non-discrete length functions
• Multiplicative invariants and length functions over valuation domains
• Inertial automorphisms of an Abelian group.
• Algebraic Yuzvinski formula
• Entropy on discrete Abelian groups
• Locally finite groups containing a finite inseparable subgroup
• The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
• Intrinsic algebraic entropy
• Discrete dynamical systems in group theory
• On Some Inequalities for Polynomials in Several Variables
• Algebraic entropy for Abelian groups
• Automorphisms of solenoids and p-adic entropy
• Algebraic and other entropies of group endomorphisms
• Two new proofs concerning the intrinsic algebraic entropy
• Limit free computation of entropy
• Length functions, multiplicities and algebraic entropy
• A general notion of algebraic entropy and the rank-entropy
• Topological Entropy
• A GENERALIZATION OF THE CONCEPT OF LENGTH