Rafael Parra

collaborators

3 papers

math.RA2026

$n$ -Absolutely pure and $n$ -flat modules, revisited

Rafael Parra, Marco A. P{Ã©}rez

We revisit the concepts of $n$ -absolutely pure and $n$ -flat modules, and their relation with $n$ -coherent rings in the sense of Lee. We provide new proofs for some known claims abo…

math.RA2026

$(n, d)$ -Coherent Rings

Rafael Parra

We investigate finiteness conditions on modules of bounded projective dimension and their connection with generalized notions of coherence. For a ring $R$ , we consider the class $\…

math.RA2026

Regularity and $K_{0}$ -Regularity under Finiteness Conditions

Rafael Parra

The purpose of this work is to investigate various notions of regularity from the perspective of finiteness conditions, with the ultimate goal of identifying broad classes of rings…

n-Absolutely pure and n-flat modules, revisited

(n,d)-Coherent Rings

Regularity and K0​-Regularity under Finiteness Conditions

$n$ -Absolutely pure and $n$ -flat modules, revisited

$(n, d)$ -Coherent Rings

Regularity and $K_{0}$ -Regularity under Finiteness Conditions