LEFT GLOBAL DIMENSIONS AND INVERSE POLYNOMIAL MODULES

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.

Saved in:

Bibliographic Details
Published in:	International Journal of Mathematics and Mathematical Sciences Vol. 2000; no. 7; pp. a437 - 440-156
Main Author:	Park, Sangwon
Format:	Journal Article
Language:	English
Published:	Hindawi Limiteds 01.01.2000 Wiley
Subjects:	injective module Inverse polynomial module left global dimension short exact sequence left global dimension Inverse polynomial module short exact sequence injective module
ISSN:	0161-1712, 1687-0425
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0161-1712 1687-0425
DOI:	10.1155/S0161171200004129