Vol. 67, No. 1, 1976

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Localization in fully bounded Noetherian rings

Bruno J. Mueller

Vol. 67 (1976), No. 1, 233–245

The paper defines and studies links between the prime ideals of a noncommutative fully bounded noetherian ring, and their role as obstructions to localizability: a localization with properties similar to those of the localization of a commutative ring at a prime ideal, can be constructed if and only if the equivalence class determined by the links is finite. For rings with polynomial identity, the links are described in more detail via an inductive procedure over the PI-degree, and several examples are constructed.

Mathematical Subject Classification
Primary: 16A08, 16A08
Received: 24 December 1975
Revised: 6 July 1976
Published: 1 November 1976
Bruno J. Mueller