Fully inert subgroups of Abelian \(p\)-groups.

DOI10.1016/j.jalgebra.2014.07.021zbMath1305.20063OpenAlexW2036118365MaRDI QIDQ406603

Brendan Goldsmith, Luigi Salce, Paolo Zanardo

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.07.021

zbMATH Keywords

endomorphismsAbelian \(p\)-groupsfully invariant subgroupscommensurable subgroupsdirect sums of cyclic \(p\)-groupsfully inert subgroups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (23)

On the socles of characteristically inert subgroups of abelian \(p\)-groups ⋮ Abelian p-groups with minimal characteristic inertia ⋮ ON PROJECTIVELY INERT SUBGROUPS OF COMPLETELY DECOMPOSABLE FINITE RANK GROUPS ⋮ Topological entropy for locally linearly compact vector spaces ⋮ On fully inert subgroups of completely decomposable groups ⋮ Abelian \(p\)-groups with minimal full inertia ⋮ Fully inert subgroups of torsion-complete \(p\)-groups ⋮ Weakly fully and characteristically inert socle-regular Abelian p-groups ⋮ When the intrinsic algebraic entropy is not really intrinsic ⋮ On strongly invariant subgroups of abelian groups ⋮ Intermediately fully invariant subgroups of abelian groups ⋮ On the socles of strongly inert subgroups of abelian \(p \)-groups ⋮ On the ring of inertial endomorphisms of an abelian group. ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ Unnamed Item ⋮ On the socles of fully inert subgroups of abelian \(p\)-groups ⋮ Inertial properties in groups ⋮ On uniformly fully inert subgroups of abelian groups ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ Generalized quasi-metric semilattices ⋮ Strictly invariant submodules ⋮ Intrinsic entropy for generalized quasimetric semilattices ⋮ Countably totally projective abelian \(p\)-groups have minimal full inertia

Cites Work

• Unnamed Item
• Unnamed Item
• On socle-regularity and some notions of transitivity for Abelian \(p\)-groups.
• Fully inert subgroups of free Abelian groups.
• Fully inert submodules of torsion-free modules over the ring of p-adic integers
• Fully inert subgroups of divisible Abelian groups
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS
• The structure of large subgroups of primary abelian groups

This page was built for publication: Fully inert subgroups of Abelian \(p\)-groups.