Simion Breaz

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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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3 papers · 1 filter

math.RA2025

On the Waring Problem for Matrices over Finite Fields

Simion Breaz

We prove that if $k$ is a positive integer, then for every finite field $F_{q}$ of cardinality $q \neq = 2$ and for every positive integer $n$ such that $q^{n} > (k - 1)^{4}$ , every $n…

math.CT2025

The Krull-Remak-Schmidt-Azumaya Theorem for idempotent complete categories

Simion Breaz

We prove that the Krull-Remak-Schmidt-Azumaya unique decomposition theorem holds in idempotent complete additive categories with enough compact objects. In particular, this result…

math.CT2025

Comparing $Add (M)$ with $Prod (M)$

Simion Breaz, Cristian Rafiliu

We present characterizations for the inclusions $Add (M) \subseteq Prod (M)$ and $Prod (M) \subseteq Add (M)$ in locally finitely presented categories…

On the Waring Problem for Matrices over Finite Fields

The Krull-Remak-Schmidt-Azumaya Theorem for idempotent complete categories

Comparing Add(M) with Prod(M)

Comparing $Add (M)$ with $Prod (M)$