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The principal ideal theorem in prime Noetherian rings
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1986
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