%0 Journal Article
%T Transfer of the GPIT Property in Pullbacks
%A David E. Dobbs
%A Jay Shapiro
%J International Journal of Mathematics and Mathematical Sciences
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/743873
%X Let  be a commutative ring,  a prime ideal of ,  a subring of /, and  the pullback กม/. Ascent and descent results are given for the transfer of the -PIT and GPIT (generalized principal ideal theorem) properties between  and . As a consequence, it follows that if  is a maximal ideal of both  and , then  satisfies -PIT (resp., GPIT) if and only if  satisfies -PIT (resp., GPIT).
%U http://www.hindawi.com/journals/ijmms/2012/743873/