The prime spectrum and the extended prime spectrum of noncommutative rings

Klep, Igor and Tressl, Marcus (2007) The prime spectrum and the extended prime spectrum of noncommutative rings. ALGEBRAS AND REPRESENTATION THEORY, 10 (3). pp. 257-270. ISSN 1386-923X,

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Abstract

We investigate the prime spectrum of a noncommutative ring and its spectral closure, the extended prime spectrum. We construct a ring for which the prime spectrum is a spectral space different from the extended prime spectrum and we construct a von Neumann regular ring for which the prime spectrum is not a spectral space.

Item Type: Article
Uncontrolled Keywords: ; prime ideals; spectral spaces
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 02 Dec 2020 14:33
Last Modified: 02 Dec 2020 14:33
URI: https://pred.uni-regensburg.de/id/eprint/32624

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