16 citations · 26 across the 19 of their papers we have counts for
33 papers
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…
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,…
On the Waring Problem for Matrices over Finite Fields
Simion Breaz
We prove that if is a positive integer, then for every finite field of cardinality and for every positive integer such that , every $n…
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…
Comparing with
Simion Breaz, Cristian Rafiliu
We present characterizations for the inclusions and in locally finitely presented categories…
Heaps of modules: Categorical aspects
Simion Breaz, Tomasz Brzezinski, Bernard Rybolowicz +1
Connections between heaps of modules and (affine) modules over rings are explored. This leads to explicit, often constructive, descriptions of some categorical constructions and pr…