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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.CT2026
Migration of silting objects via adjoint pairs
Simion Breaz, Andrei Marcuş, 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,…