37 citations · 41 across the 3 of their papers we have counts for
4 papers
Intrinsic valuation entropy
Luigi Salce, Simone Virili
We extend the notion of intrinsic entropy for endomorphisms of Abelian groups to endomorphisms of modules over an Archimedean non-discrete valuation domain , using the natural n…
The Addition Theorem for algebraic entropies induced by non-discrete length functions
Luigi Salce, Simone Virili
The validity of the Addition Theorem for algebraic entropies $\ent_L$ induced by non-discrete length functions on the category of locally -finite modules over arbitrary ring…
Idempotent pairs and PRINC domains
Giulio Peruginelli, Luigi Salce, Paolo Zanardo
A pair of elements in an integral domain is an idempotent pair if either , or . is said to be a PRINC domain if all the ideals generated…
Adjoint algebraic entropy
Dikran Dikranjan, Anna Giordano Bruno, Luigi Salce
The new notion of adjoint algebraic entropy of endomorphisms of Abelian groups is introduced. Various examples and basic properties are provided. It is proved that the adjoint alge…