AFRICA MATHEMATICS ANNALS
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Contents > Past issues > Volume 3
Filtrations, Transcendence Degree and Analytic Spread
Dramane Bio SALIFOU
70, boul. Henri-Bourassa Ouest
Montréal, QC, H3L 1M7, CANADA
Mathematics Subject Classifications:(2010 MSC) 13A30, 13E05 .
Key words: nœtherian filtration, Rees ring of a filltration, transcendence degree,
analytic spread.
Abstract:
Let 
be an integer 
which may be infinite. Let 
be a nœtherian
filtration of the commutative ring 
and
let 
(resp. 
) be the ordinary (resp. the extended) Rees ring of the filtration 
. For
each ideal 
of 
containing 
we consider the transcendence degree 
of the
-algebra
over
.
The main purpose of this paper is to prove that the number 
is also an
extension of the usual analytic spread of a nœtherian filtration.