Structure of Ann-Categories

Details Structure of Ann-Categories Structure of Ann-Categories

2008-04-11

arxiv.org/abs/0804.1820v1

Mathematics

Category Theory

27 pages

Scientific paper

This paper presents the structure conversion by which from an Ann-category $\A,$ we can obtain its reduced Ann-category of the type $(R,M)$ whose structure is a family of five functions $k=(\xi,\eta,\alpha,\lambda,\rho)$. Then we will show that each Ann-category is determined by three invariants: 1. The ring $\Pi_0(\A)$ of the isomorphic classes of objects of $\A$, 2. $\Pi_0(\A)$-bimodule $\Pi_1(\A) = \Aut_{\A}(0),$ 3. The element $ \bar{k}\in H^{3}_{M}(\Pi_0(\A), \Pi_1(\A))$ (the ring cohomology due to MacLane).

Affiliated with

Also associated with

No associations

Rating

Structure of Ann-Categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Structure of Ann-Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure of Ann-Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-705464