Simion Breaz

works on

additive decomposition 1 compact objects 1 exchange property 1 finite fields 1 idempotent complete categories 1 krull-remak-schmidt-azumaya theorem 1 k-th powers 1 matrix theory 1 triangulated categories 1 waring problem 1

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math.CT2026

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

Simion Breaz

The paper proves that the Krull‑Remak‑Schmidt‑Azumaya unique decomposition theorem holds for idempotent complete additive categories that have enough compact objects, and shows how…

math.CT2026

Migration of silting objects via adjoint pairs

Simion Breaz, Andrei MarcuÅ, George Ciprian Modoi

Consider an adjoint triple of triangle functors between two nice enough triangulated categories. In this paper, we are looking for conditions under which the silting, respectively,…

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…

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

Migration of silting objects via adjoint pairs

Comparing Add(M) with Prod(M)

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