Abstract
Abstract
The minimum number of idempotent generators is calculated for an incidence algebra of a finite poset over a commutative ring. This quantity equals either
$\lceil \log _2 n\rceil $
or
$\lceil \log _2 n\rceil +1$
, where n is the cardinality of the poset. The two cases are separated in terms of the embedding of the Hasse diagram of the poset into the complement of the hypercube graph.
Publisher
Cambridge University Press (CUP)