Slender domains and compact domains

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Standard

Slender domains and compact domains. / Jensen, Chr Ulrik; Jøndrup, Søren; Thorup, Anders.

I: Forum Mathematicum, Bind 29, Nr. 4, 07.2017, s. 893-904.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Jensen, CU, Jøndrup, S & Thorup, A 2017, 'Slender domains and compact domains', Forum Mathematicum, bind 29, nr. 4, s. 893-904. https://doi.org/10.1515/forum-2015-0254

APA

Jensen, C. U., Jøndrup, S., & Thorup, A. (2017). Slender domains and compact domains. Forum Mathematicum, 29(4), 893-904. https://doi.org/10.1515/forum-2015-0254

Vancouver

Jensen CU, Jøndrup S, Thorup A. Slender domains and compact domains. Forum Mathematicum. 2017 jul.;29(4):893-904. https://doi.org/10.1515/forum-2015-0254

Author

Jensen, Chr Ulrik ; Jøndrup, Søren ; Thorup, Anders. / Slender domains and compact domains. I: Forum Mathematicum. 2017 ; Bind 29, Nr. 4. s. 893-904.

Bibtex

@article{0b64abfa8cc24a058bb11c93f741dfe0,
title = "Slender domains and compact domains",
abstract = "We prove that a one-dimensional Noetherian domain is slender if and only if it is not a local complete ring. The latter condition for a general Noetherian domain characterizes the domains that are not algebraically compact. For a general Noetherian domain R we prove that R is algebraically compact if and only if R satisfies a condition slightly stronger than not being slender. In addition we enlarge considerably the number of classes of rings for which the question of slenderness can be answered. For instance we prove that any domain, not a field, essentially of finite type over a field is slender.",
author = "Jensen, {Chr Ulrik} and S{\o}ren J{\o}ndrup and Anders Thorup",
year = "2017",
month = jul,
doi = "10.1515/forum-2015-0254",
language = "English",
volume = "29",
pages = "893--904",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "Walterde Gruyter GmbH",
number = "4",

}

RIS

TY - JOUR

T1 - Slender domains and compact domains

AU - Jensen, Chr Ulrik

AU - Jøndrup, Søren

AU - Thorup, Anders

PY - 2017/7

Y1 - 2017/7

N2 - We prove that a one-dimensional Noetherian domain is slender if and only if it is not a local complete ring. The latter condition for a general Noetherian domain characterizes the domains that are not algebraically compact. For a general Noetherian domain R we prove that R is algebraically compact if and only if R satisfies a condition slightly stronger than not being slender. In addition we enlarge considerably the number of classes of rings for which the question of slenderness can be answered. For instance we prove that any domain, not a field, essentially of finite type over a field is slender.

AB - We prove that a one-dimensional Noetherian domain is slender if and only if it is not a local complete ring. The latter condition for a general Noetherian domain characterizes the domains that are not algebraically compact. For a general Noetherian domain R we prove that R is algebraically compact if and only if R satisfies a condition slightly stronger than not being slender. In addition we enlarge considerably the number of classes of rings for which the question of slenderness can be answered. For instance we prove that any domain, not a field, essentially of finite type over a field is slender.

U2 - 10.1515/forum-2015-0254

DO - 10.1515/forum-2015-0254

M3 - Journal article

VL - 29

SP - 893

EP - 904

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 4

ER -

ID: 180994542