Questioni di suriettività di un morfismo canonico tra due complessi approssimati
Abstract
In this paper, we introduce the concept of i-couple for two ideals,
, in a local noetherian ring
.This concept is expressed in terms of the structure of
(where M is an approximation complex for the double Koszul complex L associated to the system of generators of J), and it generalizes the idea of (d,i)-sequence introduce in [M-R].We study the relationship between the following properties: 1)
is an i- couple of ideals in R; 2)
is an i- couple of ideals in
, more generally, in
,
.So we get some sufficient conditions for the "ascendent" and "descendent" properties of the i –couple.In particular, we study the surjectivity of the natural morphism(Error rendering LaTeX formula), since the surjectivity of
is a sufficient condition for the "descendent" property of the i - ouple from R to
.






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


DOI Code:
10.1285/i15900932v6n1p61
Full Text: PDF