Indecomposable Ideals in Incidence Algebras

Details Indecomposable Ideals in Incidence Algebras Indecomposable Ideals in Incidence Algebras

2003-09-07

arxiv.org/abs/math/0309126v1

Mod.Phys.Lett. A18 (2003) 2491-2500

Mathematics

Combinatorics

plainTeX, 12 pages, no figures To appear in a special issue of Modern Physics Letters A, devoted to the proceedings of ``Balfe

Scientific paper

10.1142/S0217732303012738

The elements of a finite partial order $P$ can be identified with the maximal
indecomposable two-sided ideals of its incidence algebra $\A$, and then for two
such ideals, $I\prec J \iff IJ \not=0$. This offers one way to recover a poset
from its incidence algebra. In the course of proving the above, we classify all
of the two-sided ideals of $\A$.

Affiliated with

Also associated with

No associations

Rating

Indecomposable Ideals in Incidence Algebras 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 Indecomposable Ideals in Incidence Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Indecomposable Ideals in Incidence Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-263755