It is shown that the multiplication in an Archimedean d-algebra A can be extended to a multiplication in the Dedekind completion A δ of A such that A δ becomes a d-algebra with respect to this extended multiplication. This answers a question posed by Huijsmans in Studies in Economic Theory (Vol. 2, Springer, Berlin, 1991).
Positivity – Springer Journals
Published: Dec 30, 2004
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