The (n, d)-krull property over domains arising from pullbacks

Najib Mahdou; Abdeslam Mimouni; Hakima Mouanis

doi:10.1080/00927870600550079

The (n, d)-krull property over domains arising from pullbacks

Najib Mahdou, Abdeslam Mimouni^*, Hakima Mouanis

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this work we investigate the transfer of the ( n , d )-Krull property between domains arising from pullbacks. As an application, we construct a new class of non-coherent domains which are (0, d )-Krull domains, not (0, d - 1)-Krull domains, and where the Krull dimension equals d + 1.

Original language	English
Pages (from-to)	2281-2286
Number of pages	6
Journal	Communications in Algebra
Volume	34
Issue number	6
DOIs	https://doi.org/10.1080/00927870600550079
State	Published - 2006

Keywords

(n, d)-Krull
Coherent
Pullbacks
n-presented

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927870600550079

Cite this

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title = "The (n, d)-krull property over domains arising from pullbacks",

abstract = "In this work we investigate the transfer of the ( n , d )-Krull property between domains arising from pullbacks. As an application, we construct a new class of non-coherent domains which are (0, d )-Krull domains, not (0, d - 1)-Krull domains, and where the Krull dimension equals d + 1.",

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AU - Mahdou, Najib

AU - Mimouni, Abdeslam

AU - Mouanis, Hakima

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N2 - In this work we investigate the transfer of the ( n , d )-Krull property between domains arising from pullbacks. As an application, we construct a new class of non-coherent domains which are (0, d )-Krull domains, not (0, d - 1)-Krull domains, and where the Krull dimension equals d + 1.

AB - In this work we investigate the transfer of the ( n , d )-Krull property between domains arising from pullbacks. As an application, we construct a new class of non-coherent domains which are (0, d )-Krull domains, not (0, d - 1)-Krull domains, and where the Krull dimension equals d + 1.

KW - (n, d)-Krull

KW - Coherent

KW - Pullbacks

KW - n-presented

UR - https://www.scopus.com/pages/publications/33745008387

U2 - 10.1080/00927870600550079

DO - 10.1080/00927870600550079

M3 - Article

AN - SCOPUS:33745008387

SN - 0092-7872

VL - 34

SP - 2281

EP - 2286

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

The (n, d)-krull property over domains arising from pullbacks

Abstract

Keywords

ASJC Scopus subject areas

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