Title of article
Two notes on homogeneous prime ideals in graded Noetherian rings
Author/Authors
L. J. Ratliff Jr.، نويسنده , , David E. Rush، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
20
From page
211
To page
230
Abstract
The main results in this paper give: (1) a characterization for when there exist infinitely many homogeneous prime ideals p between two given homogeneous prime ideals P Q such that ht(Q/P)=2 in a -graded Noetherian ring; and (2) a characterization of when a given homogeneous prime ideal Q in an arbitrary Noetherian Rees ring contains infinitely many homogeneous prime ideals p such that ht(p)=ht(Q)−1.
Keywords
Local ring , regular local ring , Rees ring , Altitude formula , analytic spread , Essentially powers filtration , H-ring , Quasi-unmixed local ring
Journal title
Journal of Algebra
Serial Year
2003
Journal title
Journal of Algebra
Record number
696215
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