Near-rings of polynomials overΩ-groups

IfV is a variety of -groups and ifGV then one can study the algebraG ^V [x] of polynomials overG andx inV. With respect to addition and substitution,G ^V [x] is a near-ring. Its zero-symmetric part can excellently be used to describe generated ideals. Also, we study maximal left ideals and get a general result on the structure ofG ^V [V].This study was kindly supported by the Austrian Fonds zur Förderung der wissenschaftlichen Forschung (Projekt Nr. 3479).