%0 Journal Article %T The Addition Theorem for algebraic entropies induced by non-discrete length functions %A Luigi Salce %A Simone Virili %J Mathematics %D 2015 %I arXiv %X The validity of the Addition Theorem for algebraic entropies $\ent_L$ induced by non-discrete length functions $L$ on the category of locally $L$-finite modules over arbitrary rings is proved. Concrete examples of non-discrete length functions and their induced algebraic entropies are provided. %U http://arxiv.org/abs/1505.02354v1