On a Question of Phillips
Articles > Article · 1997
Authors: Çiǧdem Gencer, Mehmet Terziler
Mathematical Logic Quarterly, International, WoS, 1997, vol 43, pp 78-82
Summary
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.