Cristian Rafiliu

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20222026

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math.CT2026

The Kaplansky-Walker Lemma for additive categories

Simion Breaz, Cristian Rafiliu

We establish a Kaplansky-Walker type lemma for idempotent complete additive categories with direct sums. It will be used in compactly generated triangulated categories to provide a…

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 Kaplansky-Walker Lemma for additive categories

Comparing Add(M) with Prod(M)

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