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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Vydané v:	International Journal of Mathematics and Mathematical Sciences Ročník 2000; číslo 7; s. a437 - 440-156
Hlavný autor:	Park, Sangwon
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Hindawi Limiteds 01.01.2000 Wiley
Predmet:	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
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Popis
Shrnutí:	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.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0161-1712 1687-0425
DOI:	10.1155/S0161171200004129