Simion Breaz

activity

20112026

most citedHeaps of modules and affine spaces

16 citations · 26 across the 19 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.RA2014★ 1 cited

Rings in which every element is either a sum or a difference of a nilpotent and an idempotent

Simion Breaz, Peter Danchev, Yiqiang Zhou

{Generalizing the notion of nil cleanness from \cite{D13}, in parallel to \cite{DM14}, we define the concept of {\it weak nil cleanness} for an arbitrary ring. Its comprehensive st…

math.AC2014

A Baer-Kaplansky theorem for modules over principal ideal domains

Simion Breaz

We will prove that if $G$ and $H$ are modules over a principal ideal domain $R$ such that the endomorphism rings $End_{R} (R \oplus G)$ and $End_{R} (R \oplus H)$ are iso…

math.RT2014

The defect functor of a homomorphism and direct unions

Simion Breaz, Jan Žemlička

We will study commuting properties of the defect functor $Dev_{β} = Coker Hom_{C} (β, -)$ associate to a homomorphism $β$ in a finitely presented catego…