Two new proofs concerning the intrinsic algebraic entropy

ABSTRACT

We provide simpler and more direct proofs of the Addition Theorem and of the Intrinsic Algebraic Yuzvinski Formula for the intrinsic algebraic entropy $\widetilde{ent}$ of endomorphisms of Abelian groups.

KEYWORDS:

• Abelian groups
• algebraic entropy
• endomorphism rings
• length functions

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary: 20K30
• Secondary: 20K40
• 37A35