Ziegler spectra of serial rings

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Gregory, Lorna ORCID: https://orcid.org/0000-0002-5508-7217 and Puninski, Gena (2019) Ziegler spectra of serial rings. Israel Journal of Mathematics, 229 (1). pp. 415-459. ISSN 0021-2172

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Abstract

In this paper we prove that the Ziegler spectra of all serial rings are sober. We then use this proof to give a general framework for computing and understanding the T0-quotients of Ziegler spectra of uniserial rings. Finally, we illustrate this technique by computing the T0-quotients of Ziegler spectra of all rank one uniserial domains.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2018, Hebrew University of Jerusalem.
Uncontrolled Keywords:	mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	17 Oct 2022 12:30
Last Modified:	07 Nov 2024 12:45
URI:	https://ueaeprints.uea.ac.uk/id/eprint/89128
DOI:	10.1007/s11856-018-1808-8

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