Reduction numbers for witnesses to the generalized Loewy length

Richard Bartels, Sarah Dajani, Gabriel Koomson

Let $(R,\mathfrak{m})$ be a one-dimensional Cohen-Macaulay local ring. In this paper, we find the reduction number $r_z({\mathfrak{m}}^d)$ of ${\mathfrak{m}}^d$ with respect to a wit…