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We denote by W+(C+) the set of all complex-valued functions defined in the losed right half plane C+ := {s ∈ C | Re(s) ≥ 0} that differ from the Laplace transform of functions from L1 (O, ∞) by a constant. Equipped with pointwise operations, W+(C+) forms a ring. It is known that W + (C+) is a pre-Bézout ring. The following properties are shown for W+(C+): W+(C+) is not a GCD domain, that is, there...
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