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

Rings and Algebras 2015-05-12 v1

Abstract

The validity of the Addition Theorem for algebraic entropies \entL\ent_L induced by non-discrete length functions LL on the category of locally LL-finite modules over arbitrary rings is proved. Concrete examples of non-discrete length functions and their induced algebraic entropies are provided.

Keywords

Cite

@article{arxiv.1505.02354,
  title  = {The Addition Theorem for algebraic entropies induced by non-discrete length functions},
  author = {Luigi Salce and Simone Virili},
  journal= {arXiv preprint arXiv:1505.02354},
  year   = {2015}
}

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15 pages