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Indecomposable Ideals in Incidence Algebras
https://doi.org/10.1142/S0217732303012738Cited by:6 (Source: Crossref)
Abstract
The elements of a finite partial order P can be identified with the maximal indecomposable two-sided ideals of its incidence algebra 
, and then for two such ideals, I ≺ J ⇔ IJ ≠ 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 
.
PACS: 02.10.Hh, 02.10.Ox, 02.10.De
