Three examples on hopficity in torsion-free abelian groups

DOI10.1007/BF01904838zbMath0145.03302MaRDI QIDQ5521550

A. L. S. Corner

Publication date: 1965

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

group theory

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Bjarni Jónsson's contributions in algebra, Very decomposable Abelian groups, Countable Butler groups and vector spaces with four distinguished subspaces, Homomorphic images of pro-nilpotent algebras, On hereditarily and super R-Hopfian and L-co-Hopfian abelian groups, Finiteness properties of direct products of algebraic structures, Unnamed Item, Some Theorems on Hopficity, Every cotorsion-free algebra is an endomorphism algebra, On Adjoint Entropy of Abelian Groups, Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey, R-Hopfian and L-co-Hopfian Abelian Groups (with an Appendix by A.L.S. Corner on Near Automorphisms of an Abelian Group), Kaplansky test problem for \(R\)-modules, The Hopfian exponent of an abelian group., Modules over discrete valuation domains. I, Corner’s Realization Theorems from the Viewpoint of Algebraic Entropy, Endomorphism rings of abelian groups as isomorphic restrictions of full endomorphism rings, Abelian groups, Modules over discrete valuation domains. II, The Hopf property of free products, The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups, Anosov diffeomorphisms of products II. Aspherical manifolds, On the question of the Hopficity of the direct product of a Hopfian with an infinite cyclic group, Misbehaved direct products, Products of abelian hopfian groups

Cites Work

• On direct decompositions of torsionfree Abelian groups
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
• Unnamed Item