科研之友
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摘要
A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom(R)(C, C)R and Ext(R)(i) (C, C) = 0 for all i1. For certain local Cohen-Macauly rings (R, ?), we verify the equality of Hilbert-Samuel multiplicities e(R)(J; C)=e(R)(J; R) for all semidualizing R-modules C and all ?-primary ideals J. The classes of rings we investigate include those that are determined by ideals defining fat point schemes in projective space or by monomial ideals.
- 出版日期2013-12-2
