Abstract

A number field is called a Pólya field if the module of integer-valued polynomials over its ring of integers has a regular basis. Let L be a field which is a compositum of two quadratic Pólya fields. Some questions were raised on Pólyaness of L in [7]. Part was solved in [3] and [8]. Here we develop a general strategy allowing us to treat the remaining cases but also to find all these previous results.

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