The addition theorem for algebraic entropies induced by non-discrete length functions

DOI10.1515/FORUM-2015-0118zbMath1362.16033arXiv1505.02354OpenAlexW2962712811MaRDI QIDQ339421

Simone Virili, Luigi Salce

Publication date: 11 November 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02354

zbMATH Keywords

endomorphism ringsvaluation ringsalgebraic entropy

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ergodic theorems, spectral theory, Markov operators (37A30) Valuation rings (13F30) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (12)

Topological entropy for locally linearly compact vector spaces ⋮ The addition theorem for locally monotileable monoid actions ⋮ Two new proofs concerning the intrinsic algebraic entropy ⋮ Algebraic entropy for valuation domains ⋮ Decomposition and classification of length functions ⋮ Almost Dedekind domains without radical factorization ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ Algebraic Entropy in Locally Linearly Compact Vector Spaces ⋮ Sofic mean length ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ Intrinsic valuation entropy ⋮ Algebraic and Shannon entropies of commutative hypergroups and their connection with information and permutation entropies and with calculation of entropy for chemical algebras

Cites Work

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• Algebraic and other entropies of group endomorphisms
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• A general notion of algebraic entropy and the rank-entropy
• A GENERALIZATION OF THE CONCEPT OF LENGTH
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• Des catégories abéliennes

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