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On a Question of Phillips

✍ Scribed by Çiǧdem Gencer; Mehmet Terziler

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
224 KB
Volume
43
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In [5] Phillips proved that one can obtain the additive group of any nonstandard model *ℤ of the ring ℤ of integers by using a linear mod 1 function h : F ℚ, where F is the α‐dimensional vector space over ℚ when α is the cardinality of *ℤ. In this connection it arises the question whether there are linear mod 1 functions which are neither addition nor quasi‐linear. We prove that this is the case.

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