Richard F. Bartels

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20232026

most citedGeneralized Loewy length of Cohen-Macaulay local and graded rings

1 citations · 1 across the 5 of their papers we have counts for

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math.AC2026

Reduction numbers for witnesses to the generalized Loewy length

Richard Bartels, Sarah Dajani, Gabriel Koomson

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

math.AC2026

Cohen-Macaulay approximations over generically Gorenstein rings

Richard F. Bartels

Let $(R, m)$ be a Cohen-Macaulay local ring with canonical module that is generically Gorenstein. In this paper, I prove isomorphisms relating the minimal MCM approximati…