Rafael Parra

activity

20092026

collaborators

8 papers

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…

math.RT2023

The coloured mutation class of $A_{n}$ quivers

Viviana Gubitosi, Claudio Qureshi, Rafael Parra

In this paper we give an explicit and pure combinatorial description of the $m$ -coloured quivers that appears in the $m$ -coloured mutation class of a quiver of type $A_{n}$ .…

math.RA2022

Finiteness properties and homological dimensions of Skew Group rings

Viviana Gubitosi, Rafael Parra

Let $G$ be a finite group acting on a ring $R$ and $H$ a subgroup of $G$ . In this paper we compare some homological dimensions over the skew group rings $R G$ and $R H$ . Moreover, un…

math.KT2022

On the K-theory of $Z$ -categories

Eugenia Ellis, Rafael Parra

We establish connections between the concepts of Noetherian, regular coherent, and regular n-coherent categories for Z-linear categories with finitely many objects and the correspo…

math.KT2020

K-theory of n-coherent rings

Eugenia Ellis, Rafael Parra

Let $R$ be a strong $n$ -coherent ring such that each finitely $n$ -presented $R$ -module has finite projective dimension. We consider $F P_{n} (R)$ the full subcategory of $R…

math.AC2009

Envelopes of commutative rings

Rafael Parra, Manuel Saorin

Given a significative class $F$ of commutative rings, we study the precise conditions under which a commutative ring $R$ has an $F$ -envelope. A full answer is obtained when $F$ is…

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

The coloured mutation class of An​ quivers

Finiteness properties and homological dimensions of Skew Group rings

On the K-theory of Z-categories

K-theory of n-coherent rings

Envelopes of commutative rings

$n$ -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

The coloured mutation class of $A_{n}$ quivers

On the K-theory of $Z$ -categories