Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey

DOI10.1007/978-3-319-51718-6_7zbMath1436.20108OpenAlexW2620748279MaRDI QIDQ3298250

Brendan Goldsmith, Luigi Salce

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_7

zbMATH Keywords

modulesendomorphism ringsabelian groupslength functionsalgebraic entropy

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) General module theory in associative algebras (16D10) Torsion-free groups, finite rank (20K15)

Related Items (9)

Abelian \(p\)-groups with minimal full inertia ⋮ Fully inert subgroups of torsion-complete \(p\)-groups ⋮ Algebraic entropy for amenable semigroup actions ⋮ Weakly fully and characteristically inert socle-regular Abelian p-groups ⋮ Mathematical models for the effects of hypertension and stress on kidney and their uncertainty ⋮ Inertial properties in groups ⋮ On uniformly fully inert subgroups of abelian groups ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ Countably totally projective abelian \(p\)-groups have minimal full inertia

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