Let R be a non-discrete Archimedean valuation domain, G an R-module, Φ ∈ EndR(G).We compute the algebraic entropy entv(Φ), when Φ is restricted to a cyclic trajectory in G. We derive a special case of the Addition Theorem for entv, that is proved directly, without using the deep results and the difficult techniques of the paper by Salce and Virili [8].
@article{bwmeta1.element.doi-10_1515_taa-2015-0004,
author = {Paolo Zanardo},
title = {Algebraic entropy for valuation domains},
journal = {Topological Algebra and its Applications},
volume = {3},
year = {2015},
zbl = {06506783},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2015-0004}
}
Paolo Zanardo. Algebraic entropy for valuation domains. Topological Algebra and its Applications, Tome 3 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2015-0004/
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