Geodesic
The principal ideal theorem in prime Noetherian rings
Glasgow mathematical journal, Tome 28 (1986) no. 1, pp. 63-68

Voir la notice de l'article provenant de la source Cambridge University Press

In the study of certain prime Noetherian rings it is natural to consider the set C of elements which are regular modulo all height-1 prime ideals of R. For R commutative, this set C is simply the set of units. In general this is not the case, though with certain additional conditions we can state non-commutative versions of the Principal Ideal Theorem. 
Chatters, A. W.; Gilchrist, M. P. The principal ideal theorem in prime Noetherian rings. Glasgow mathematical journal, Tome 28 (1986) no. 1, pp. 63-68. doi: 10.1017/S0017089500006340
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