Rafael Parra

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20092026

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Showing math.RAShow all

3 papers · 1 filter

math.RA2026

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

Rafael Parra, Marco A. P{é}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

On $(n, d)$ -Coherence and Its Applications to Algebraic $K$ -Theory

Rafael Parra

We introduce a unified approach to finiteness conditions in homological algebra and algebraic $K$ -theory by studying the class of $(n, d)$ -coherent rings, defined for $n\in…

math.RA2025

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

On (n,d)-Coherence and Its Applications to Algebraic K-Theory

Regularity and K0​-Regularity under Finiteness Conditions

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

On $(n, d)$ -Coherence and Its Applications to Algebraic $K$ -Theory

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