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The structure sheaf of an incidence algebra

Published online by Cambridge University Press:  09 April 2009

Beth Goldston Barnwell  and
A. C. Mewborn
Beth Goldston Barnwell
Affiliation:
Randolph Macon Womans CollegeLynchburg, Virginia, USA
A. C. Mewborn
Affiliation:
University of North CarolinaChapel Hill, North Carolina, USA
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1978 , pp. 92 - 102
Copyright
Copyright © Australian Mathematical Society 1978

References

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