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We study the connectedness property of the spectrum of forcing algebras overa noetherian ring. In particular we present for an integral base ring ageometric criterion for connectedness in terms of horizontal and verticalcomponents of the forcing algebra. This criterion allows furthersimplifications when the base ring is local, or one-dimensional, or factorial.Besides, we discuss whether the connectedness is a local property. Finally, wepresent a characterization of the integral closure of an ideal by means of theuniversal connectedness of the forcing algebra

On the connectedness of the spectrum of forcing algebras