Abstract
A Heyting field is a nontrivial commutative local ring such that each noninvertible element is zero. It is the most popular constructive substitute for the classical notion of a field. The prototype example is the ring of real numbers. A weak Heyting field, defined to be a Heyting field minus the local requirement, is classically a Heyting field. We show that the ring of Laurent series (or Puiseux series) over any Heyting field is a weak Heyting field, but the ring of Laurent series over is not a Heyting field.
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