Title: On Condensed Noetherian Domains Whose Integral Closures are Discrete Valuation Rings
Abstract: Abstract A condensed domain is an integral domain such that IJ = { xy : x ∊ I , y ∊ J } holds for each pair I, J of ideals. We prove that, under suitable conditions, a subring of a discrete valuation ring is condensed if and only if it contains an element of value 2. We also define the concept strongly condensed.