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The Addition Theorem for algebraic entropies induced by non-discrete length functions
Abstract The validity of the Addition Theorem for algebraic entropies <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mo>ent</m:mo> <m:mi>L</m:mi> </m:msub> </m:math> $\operatorname{ent}_{L}$ 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 …