Author/Authors :
David F. Anderson، نويسنده , , Gyu Whan Chang، نويسنده ,
Abstract :
Let D be an integral domain, S a saturated multiplicative subset of D, and N={0≠x D xD∩sD=xsD for all s S}. We study Nagataʹs theorem for the class group and multiplicative sets S such that SN is the complement of a prime ideal. As applications, we calculate the class group of pullback domains and D+XDS[X] domains