Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Pure mathematics
Abstract
The theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic approach based on the notion of entropy borrowed from dynamical systems. In the present work we introduce a \lq dual\rq \ notion based upon the replacement of the finite groups used in the definition of algebraic entropy, by subgroups of finite index. The basic properties of this new entropy are established and a connection to Hopfian groups is investigated.
DOI
http://doi.org10.21427/rr3e-yg14
Recommended Citation
Goldsmith, B., Gong, K.:On Adjoint Entropy of Abelian Groups. Communications in Algebra, 2011. doi: 10.21427/rr3e-yg14
Publication Details
To appear in Communications in Algebra 2011