双分次模的相对Cohen-Macaulay性和相对非混合性
Relative Cohen-Macaulayness and relative unmixedness of bigraded modules
摘要:
本文研究了标准双分次多项式环上相对Cohen-Macaulay理想或相对非混合双分次理想的双分次生成模.本文将Reisner判别法推广到Cohen-Macaulay单纯复形。
英文摘要:
In this paper we study the finitely generated bigraded modules over a standard bigraded polynomial ring which are relative Cohen-Macaulay or relative unmixed with respect to one of the irrelevant bigraded ideals. A generalization of Reisner's criterion for Cohen-Macaulay simplicial complexes is considered.
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