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Spectra of maximal 1-sided ideals and primitive ideals. (English) Zbl 1132.16003

The paper under review studies the relationships among various ring-theoretic properties of a ring and the properties of the space of right prime ideals, taken with the weak Zariski topology. As a result of this investigation the authors describe when the quotient of a ring by the Jacobson radical, respectively the prime radical, is a Gelfand ring.

MSC:

16D25 Ideals in associative algebras
16W80 Topological and ordered rings and modules
54H13 Topological fields, rings, etc. (topological aspects)
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References:

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