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.
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The authors are members of the European Research Training Network RAAG (Contract No. HPRN-CT-2001-00271). The first author was also supported by the Ministry of Education, Science and Sport of Slovenia.
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Klep, I., Tressl, M. The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings. Algebr Represent Theor 10, 257–270 (2007). https://doi.org/10.1007/s10468-006-9009-2
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DOI: https://doi.org/10.1007/s10468-006-9009-2