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- W194682169 abstract "Let R be a ring and let r be an hereditary torsion theory such that R has the descending chain condition on r-closed left ideals. Let {P1, P2 ·, P n } be a link closed set of r-closed prime ideals and C be a left reversible left Ore set in (Cleft( {bigcaplimits_{i = 1}^n {P_i } } right)). If C−1R is left artinian, then r can be modified to another torsion theory σ such that R has DCC on σ-closed left ideals and the primitive ideals of C−1R are precisely localizations of the σ-closed prime ideals of R. As an application, new information about localization at sets of minimal primes in rings with left Krull dimension and in Noetherian rings is obtained. The condition that the primitive ideals of C−1R are precisely {C−1P1, C−1P2, ·, C−1P n } is also studied." @default.
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- W194682169 date "1990-01-01" @default.
- W194682169 modified "2023-09-27" @default.
- W194682169 title "Primitive ideals of nice Ore localizations" @default.
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- W194682169 doi "https://doi.org/10.1007/bfb0091251" @default.
- W194682169 hasPublicationYear "1990" @default.
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