5 papers
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…
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…
The ascent-descent property for -term silting complexes
Simion Breaz
We will prove that over commutative rings the silting property of -term complexes induced by morphisms between projective modules is preserved and reflected by faithfully flat e…
Strictly invariant submodules
Simion Breaz, Grigore Călugăreanu, Andrey Chekhlov
If is an -module, we study the submodules with the property that is invariant with respect to all monomorphisms . Such submodules are called \t…
Nil-clean companion matrices
Simion Breaz, George Ciprian Modoi
We describe nil-clean companion matrices over fields.