Central extensions in semi-abelian categories

By Dominique Bourn, Marino Gran. 2002

58 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/d4653b2a25ef93e62a75dc32d5ded39eabd3a7e8

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. Marino Gran
2. Tim Van der Linden
3. Sandra Mantovani
4. Giuseppe Metere

In Geometry and Topology

1. Tim Van der Linden
2. Marino Gran
3. Sandra Mantovani
4. Giuseppe Metere

In Mathematical Physics

1. Tim Van der Linden
2. Marino Gran
3. Sandra Mantovani
4. Giuseppe Metere

Citations in the corpus

• Baer invariants in semi-abelian categories I:General theory (2004, unknown): “The correspondence between the two notions—centrality and commutators—was made clear, first by Janelidze and Kelly in [27] and [26], next by Bourn and Gran in [10], then, most generally, by Gran, in [20].”
• On the second cohomology group in semi-abelian categories (2005, background): “By taking into account the main result of [13], the Fundamental Theorem of Galois Theory may be written as a category equivalence Centr(Y ) ' {Gal( f ), Ab(A)} between the category Centr(Y ) of central extension of Y and the category {Gal( f ), Ab(A)} of discrete fibrations in Ab(A) on the Galois gr”