The structure sheaf of an incidence algebra
Beth Goldston Barnwell, A. C. Mewborn · Journal of the Australian Mathematical Society · 1978
Abstract Let R be the incidence algebra of a finite partially ordered set T over a commutative noetherian ring A. Then the spectrum of R is homeomorphic to the product (Spec A) x T, where Spec A has the usual Zariski topology and T has the order topology. An explicit construction is given for the structure sheaf of R over its spectrum.