Communications in Algebra, vol.45, no.8, pp.3334-3339, 2017 (SCI-Expanded)
In this paper, we examine the pure Goldie dimension and dual pure Goldie dimension in finitely accessible additive categories. In particular, we show that if A is an object in a finitely accessible additive category A that has finite pure Goldie dimension n and finite dual pure Goldie dimension m, then EndA(A) is semilocal and the dual Goldie dimension of EndA(A) is less than or equal to n+m.