Indecomposable Ideals in Incidence Algebras
Sorkin, Rafael D.
arXiv, 0309126 / Harvested from arXiv
Text on arXiv
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 $\A$.
Publié le : 2003-09-07
Classification:  Mathematics - Combinatorics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematical Physics 
@article{0309126,
     author = {Sorkin, Rafael D.},
     title = {Indecomposable Ideals in Incidence Algebras},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309126}
}

Sorkin, Rafael D. Indecomposable Ideals in Incidence Algebras. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309126/