Absolutely Pure Covers

By Katherine Pinzón. 2008

56 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/757ddac49f73576d9ffaacc33bf00208be7855c9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. James Gillespie
2. Daniel Bravo
3. Mark Hovey
4. J. Št’ovíček
5. Manuel Saor'in
6. Sergio Estrada
7. Jan Trlifaj
8. Hiroyuki Nakaoka

In Geometry and Topology

1. James Gillespie
2. J. Št’ovíček
3. Daniel Bravo
4. Mark Hovey
5. Manuel Saor'in
6. Jan Trlifaj
7. Hanno Becker
8. B. Shipley

Citations in the corpus

• Covers in finitely accessible categories (2010, unknown): “We first extend the above result to modules over a ring with enough idempotents, giving a proof based on an idea, different of that from [27], employed in [30] for showing that the class of absolutely pure modules over a right coherent ring is covering.”
• The stable module category of a general ring (2014, background): “y module is absolutely clean, so the fibrant objects in the AC-acyclic model structure are the injective complexes, and every map is a weak equivalence. We would like to acknowledge the work of Pinzon [Pin08], whose theorems about absolutely pure modules over left coherent rings led us to the more ge”