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The Addition Theorem for algebraic entropies induced by non-discrete length functions

  • Luigi Salce and Simone Virili EMAIL logo
Published/Copyright: January 7, 2016

Abstract

The validity of the Addition Theorem for algebraic entropies entL induced by a non-discrete length function L on the category of locally L-finite modules over an arbitrary ring is proved. Concrete examples of non-discrete length functions and their induced algebraic entropies are provided.

MSC 2010: 16S50; 16D10; 13F30

Communicated by Manfred Droste


Funding statement: Research supported by “Progetti di Eccellenza 2011/12” of the Fondazione CARIPARO. The second-named author is also part of the projects MINECO MTM2014-53644-P and DGI MINECO MTM2011-28992-C02-01 (Spain).

Acknowledgements

We are indebted to Paolo Zanardo for sharing with us his results on the entropy of modules over valuation domains, now published in [22].

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Received: 2015-6-18
Revised: 2015-11-19
Published Online: 2016-1-7
Published in Print: 2016-11-1

© 2016 by De Gruyter

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