Sums of automorphisms of a primary abelian group

DOI10.2140/pjm.1968.27.463zbMath0203.32801OpenAlexW1974332375MaRDI QIDQ2541710

Frank Castagna

Publication date: 1968

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1968.27.463

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (14)

Semidirect sum of groups in which endomorphisms are generated by inner automorphisms ⋮ ON SUMS OF DIAGONAL AND INVERTIBLE FORMAL MATRICES ⋮ On minimal generating sets of \(E(D_ n)\), \(A(D_ n)\) and \(I(D_ n)\) with even \(n\) ⋮ Torsion-free groups and modules with the involution property. ⋮ Endomorphisms of countable direct sums of torsion complete groups ⋮ On unit sum numbers of rational groups. ⋮ Endomorphism Rings Generated by Units ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Abelian groups ⋮ Sums of automorphisms of free modules and completely decomposable groups. ⋮ Endomorphism nearrings of odd generalized dihedral groups ⋮ When every endomorphism of a Σ-injective module is a sum of two commuting automorphisms ⋮ Does the automorphism group generate the endomorphism ring in \(\text{Rep}(S,R)\)? ⋮ Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms.

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