3 papers
math.RA2026
On the Regularity and Clean Properties of Matrices over Dual Numbers
Berrin Şentürk, Neslihan Ayşen Özbay
In this paper, we study regularity and clean-type decompositions for matrices over dual numbers. We characterize the von Neumann regularity of dual matrices by establishing a neces…
math.AC2020
The rank 8 case of a conjecture on square-zero upper triangular matrices
Berrin Şentürk
Let be the polynomial algebra in variables with coefficients in an algebraically closed field . When the characteristic of is , Carlsson conjectured that any $\ma…
math.AC2017
Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices
Berrin Şentürk, Özgün Ünlü
Let be an algebraically closed field and the polynomial algebra in variables with coefficients in . In case the characteristic of is , Carlsson conjectured th…