On faithfully flat fibrations by a punctured line

Gupta, Neena (2014) On faithfully flat fibrations by a punctured line Journal of Algebra, 415 . pp. 13-34. ISSN 0021-8693

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Official URL: http://doi.org/10.1016/j.jalgebra.2014.05.025

Related URL: http://dx.doi.org/10.1016/j.jalgebra.2014.05.025

Abstract

Let R be a Noetherian normal domain. In this paper, we present the structure of a faithfully flat R -algebra A whose generic and codimension one fibres are of the form K[X,1f(X)]. We also investigate minimal sufficient conditions for such an algebra to be finitely generated over R.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Polynomial Algebra; Localisation; Fibre Ring; Codimension-One; Faithful Flatness; Finite Generation; Noetherianness.
ID Code:121181
Deposited On:12 Jul 2021 12:19
Last Modified:12 Jul 2021 12:19

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