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引用次数: 0
摘要
设 I 是多项式环 S=k[x1,...,xd,y1,...,yd] 上维数为 d 的科恩-麦考莱树的边理想。我们证明，对于所有 t≥1，depth(S/It)=max{d-t+1,1}。
Depth of powers of edge ideals of Cohen-Macaulay trees
Let I be the edge ideal of a Cohen-Macaulay tree of dimension d over a polynomial ring S=k[x1,…,xd,y1,…,yd]. We prove that for all t≥1, depth(S/It)=max{d−t+1,1}.
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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