Indecomposable Ideals in Incidence Algebras
Combinatorics
2009-11-10 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The elements of a finite partial order can be identified with the maximal indecomposable two-sided ideals of its incidence algebra , and then for two such ideals, . 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 .
Cite
@article{arxiv.math/0309126,
title = {Indecomposable Ideals in Incidence Algebras},
author = {Rafael D. Sorkin},
journal= {arXiv preprint arXiv:math/0309126},
year = {2009}
}
Comments
plainTeX, 12 pages, no figures To appear in a special issue of Modern Physics Letters A, devoted to the proceedings of ``Balfest'', held May, 2003, in Vietri sul Mare, Italy