International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 7, Pages 437-440
doi:10.1155/S0161171200004129
Left global dimensions and inverse polynomial modules
Department of Mathematics, Dong-A University, Pusan 604-714, Korea
Received 20 November 1999
Copyright © 2000 Sangwon Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We prove the fact l.gl.dimR[x]=(l.gl.dimR)+1, where l.gl.dim means the left global dimension by using inverse polynomial modules
and injective dimensions. The classical way to prove the fact
l.gl.dimR[x]=(l.gl.dimR)+1 is using polynomial modules and
projective dimensions.