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Abstract
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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

Sangwon Park

Department of Mathematics, Dong-A University, Pusan 604-714, Korea

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.