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On the Connectedness of the Spectrum of Forcing Algebras by Brenner, Holger; Gomez-Ramirez, Danny is a scholarly article available to read on EtoBox.

What is On the Connectedness of the Spectrum of Forcing Algebras about?

We study the connectedness property of the spectrum of forcing algebras over a noetherian ring. In particular we present for an integral base ring a geometric criterion for connectedness in terms of horizontal and vertical components of the forcing algebra. This criterion allows further simplifications when the base ring is local, or one-dimensional, or factorial. Besides, we discuss whether the connectedness is a local property. Finally, we present a characterization of the integral closure of an ideal by means of the universal connectedness of the forcing algebra

Author

Brenner, Holger; Gomez-Ramirez, Danny

Published

2012

Language

EN