On the Barr exactness property of $\mathsf{BXMod/R}$
  In this work, it is shown that the category $\mathsf{BXMod/R}$ of braided crossed modules over a fixed commutative algebra $R$ is an exact category in the sense of Barr. 
Hatice G\"uls\"un Akay and Ummahan Ege Arslan
math.CT