3 papers
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 with
Simion Breaz, Cristian Rafiliu
We present characterizations for the inclusions and in locally finitely presented categories…
math.RA2022
Decompositions of matrices by using commutators
Simion Breaz, Cristian Rafiliu
We will use commutators to provide decompositions of matrices as sums whose terms satisfy some polynomial identities, and we apply them to bounded linear operators and…