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.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences Jg. 2000; H. 7; S. a437 - 440-156
1. Verfasser: Park, Sangwon
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hindawi Limiteds 01.01.2000
Wiley
Schlagworte:
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-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171200004129