Homological Dimensions and Regular Rings
Homological Dimensions and Regular Rings
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DOI：
10.1016/j.jalgebra.2009.08.006
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发表时间：
2009-08
影响因子：
0.9
通讯作者：
A. Iacob;S. Iyengar
中科院分区：
文献类型：
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作者：
A. Iacob;S. Iyengar
Avramov和Foxby关于复形的内射维数的一个问题在Noether环类中得到了肯定的解决。证明中的一个关键步骤是将问题转化为内射模复形的同伦范畴。对平面维数和射影维数也建立了类似的结果。
A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.