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math.GR2021
The Baer-Kaplansky theorem for all abelian groups and modules
Simion Breaz, Tomasz Brzeziński
It is shown that the Baer-Kaplansky theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of cor…
math.GR2020
On a theorem of Stelzer for some classes of mixed groups
Simion Breaz
We identify some classes of mixed groups such that if has the cancellation property then the Walk-endomorphism ring of has the unit lifting pro…
math.GR2020
A mixed version for a Fuchs' Lemma
Simion Breaz
We prove a version for mixed groups for a Fuchs' result about connections between the cancellation property of a group and the unit lifting property of its (Walk-)endomorphism ring…