Faithful distributive modules over incidence algebras
Robert B. Feinberg · Pacific Journal of Mathematics · 1976
Let Q be a lower finite quasi-ordered set and let I(Q) be the incidence algebra of Q over a field K.In this paper we determine all faithful distributive modules over I(Q) and relate the result to the structure of the outer automorphism group of the algebra.In the case when Q is finite we also determine all left ideals L of I(Q) such that nQ) I{Q)IL is a faithful distributive module over I(Q).