Maximal ring of quotients of an incidence algebra

2003 
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.
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