The prime spectrum and the extended prime spectrum of noncommutative rings

Igor Klep, Marcus Tressl

    Research output: Contribution to journalArticlepeer-review

    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.
    Original languageEnglish
    Pages (from-to)257-270
    Number of pages14
    JournalAlgebras and Representation Theory
    Volume10
    Issue number3
    DOIs
    Publication statusPublished - 20 Sept 2006

    Keywords

    • Prime ideals
    • Spectral spaces

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