Simion Breaz

activity

20152022

collaborators

Showing math.RAShow all

4 papers · 1 filter

math.RA2022

Decompositions of matrices by using commutators

Simion Breaz, Cristian Rafiliu

We will use commutators to provide decompositions of $3 \times 3$ matrices as sums whose terms satisfy some polynomial identities, and we apply them to bounded linear operators and…

math.RA2021

When is every non central-unit a sum of two nilpotents?

Simion Breaz, Yiqiang Zhou

A ring is said to satisfy the $2$ -nil-sum property if every non central-unit is the sum of two nilpotents. We prove that a ring satisfies the $2$ -nil-sum property iff it is either…

math.RA2019

Strictly invariant submodules

Simion Breaz, Grigore Călugăreanu, Andrey Chekhlov

If $M$ is an $R$ -module, we study the submodules $K \leq M$ with the property that $K$ is invariant with respect to all monomorphisms $K \to M$ . Such submodules are called \t…

math.RA2015

Nil-clean companion matrices

Simion Breaz, George Ciprian Modoi

We describe nil-clean companion matrices over fields.