%0 Article %A Peterson Gary L. %D 2018 %G No linguistic content %B Acta scientiarum mathematicarum %@ 0001-6969 %T Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group %U http://acta.bibl.u-szeged.hu/56921/1/math_084_numb_003-004_401-411.pdf %X In this paper we shall obtain that the nearring C0(V ) of congruence preserving functions that are 0-preserving of a tame N-module V of a nearring N is finite when N is finite. As a consequence, C0(V ) of an expanded group hV, +, Fi is finite when the nearring of 0-preserving polynomial functions P0(V ) of hV, +, Fi is finite. We then go on to obtain further consequences of this result.