Classification problems for shifts on modules over a principal ideal domain

DOI10.1090/S0002-9947-97-01876-XzbMath0867.54026OpenAlexW1540419865MaRDI QIDQ4336551

Sandro Zampieri, Fabio Fagnani

Publication date: 13 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01876-x

zbMATH Keywords

dynamical systemspolynomial matricestransitivityprincipal ideal domainsbehavioral approachshifts

Mathematics Subject Classification ID

Factorization of matrices (15A23) Algebraic methods (93B25) Entropy in general topology (54C70)

Related Items (2)

Difference equations, shift operators and systems over Noetherian factorial domains ⋮ Equivalence conditions for behaviors and the Kronecker canonical form

Cites Work

• Topological entropy and recurrence of countable chains
• Duality over complete local rings
• Serre's conjecture
• Shifts on compact and discrete Lie groups: Algebraic-topological invariants and classification problems
• Automorphisms of compact groups
• Chains, entropy, coding
• Expansive dynamics on zero-dimensional groups
• Automorphisms of Compact Abelian Groups and Affine Varieties
• On the uniqueness of the equilibrium state
• The dynamics of group codes: state spaces, trellis diagrams, and canonical encoders
• Some results on the classification of expansive automorphisms of compact abelian groups
• Linearly Compact Modules and Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Classification problems for shifts on modules over a principal ideal domain