On the Freyd categories of an additive category

By Apostolos Beligiannis. 2000

69 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a564cbd8ff53ba8bea4172a9065cf7297e4c4dfe

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. J. Št’ovíček
2. Apostolos Beligiannis
3. L. Positselski
4. I. Reiten
5. Xiao-Wu Chen
6. B. Keller
7. Osamu Iyama
8. Chrysostomos Psaroudakis

In Geometry and Topology

1. J. Št’ovíček
2. L. Positselski
3. Apostolos Beligiannis
4. I. Reiten
5. Xiao-Wu Chen
6. Chrysostomos Psaroudakis
7. Lidia Angeleri Hugel
8. B. Keller

In Mathematical Physics

1. J. Št’ovíček
2. L. Positselski
3. I. Reiten
4. Apostolos Beligiannis
5. Chrysostomos Psaroudakis
6. Lidia Angeleri Hugel
7. James Gillespie
8. Xiao-Wu Chen

Citations in the corpus

• ∞-tilting theory (2017, background): “This category can be also described as the quotient category of the category Add(M)(2) of morphisms in Add(M) by the ideal of all morphisms in Add(M)(2) which factorize through objects of the full subcategory in Add(M)(2) consisting of all the split epimorphisms in Add(M) [10].”
• Smashing subcategories and the telescope conjecture – an algebraic approach (2000, unknown): “This characterization, and indeed a host of other equivalent statements have been obtained independently by Beligiannis in [4].”
• Homological and Homotopical Aspects of Torsion Theories (2007, background): “Since the categories P and I are functorially finite, we infer, by [23], that the Grothendieck category Mod(Q) is perfect and locally Noetherian and the Grothendieck category Mod(Q) is locally coherent.”