Abstract

Let \hat{Z} denote the inverse limit of finite cyclic groups and F_gZ the group where $F$ is a vector space over Q and + is defined by (a, x)+(b, y)=(a+b, x+y+g(a,b)) for some g: F\times F\rightarrow Z. In this paper we show that any nonstandard model Z^{\star} of Z is isomorphic to F_{\beta}Z for some \beta: F\rightarrow \hat{Z} where F=Z^{\star}/Z.

DOI

First Page

179

Last Page

183

Recommended Citation

GENCER, Ç, & TERZİLER, M (1996). ON THE ADDITIVE GROUP STRUCTURE OF NONSTANDARD MODELS OF Z. Turkish Journal of Mathematics 20 (2): 179-183. https://doi.org/-

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