From the 2 of 4 linked papers with an AI index.
4 papers
On the Waring Problem for Matrices over Finite Fields
Simion Breaz
The paper proves that for any finite field 𝔽_q with q ≠ 2 and any matrix size n satisfying q^n > (k‑1)^4, every n×n matrix over 𝔽_q can be written as a sum of two k‑th power matr…
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…
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,…
Comparing with
Simion Breaz, Cristian Rafiliu
We present characterizations for the inclusions and in locally finitely presented categories…