Maximal ring of quotients of an incidence algebra

摘要

Let X be a partially ordered set satisying the condition (*): For each $ x in X $ , there exists a maximal element $ z in X $ such that $ x leq z $ and $ l(x) = {y in X : y leq x } $ is a finite set. Let R be a commutative ring and I(X, R) be the incidence algebra of X over R. The structure of the maximal right ring of quotients of I(X, R) is given.