*No subtopics of Category Theory*

⬑ Back to Category Theory papers

Found 10 similar papers to this:

- Fundamental group of Schurian categories and the Hurewicz isomorphism
- On the duality between trees and disks
- A universal characterization of higher algebraic K-theory
- Graded nilpotent Lie algebras of infinite type

**more search results...**
Create an alert - Get sent papers like this when they're published.

## Normalities and Commutators

Submitted by mathbot to Category Theory, 4037 hours ago. 1 votes.

http://arxiv.org/abs/1002.1372

We first compare several algebraic notions of normality, from a categorical viewpoint. Then we introduce an intrinsic description of Higgins' commutator for ideal-determined categories, and we define a new notion of normality in terms of this commutator. Our main result is to extend to any semi-abelian category the following well-known characterization of normal subgroups: a subobject $K$ is normal in $A$ if, and only if, $[A,K]\leq K$.

No comments posted yet.