Semi-dualizing complexes and their Auslander categories
Semi-dualizing complexes and their Auslander categories
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DOI：
10.1090/s0002-9947-01-02627-7
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发表时间：
2001
影响因子：
1.3
通讯作者：
Lars Christensen
中科院分区：
文献类型：
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作者：
Lars Christensen
设R是交换Noether环.我们研究具有优良对偶性质的R-模及其复形。虽然它们的共同性质足够强大，足以容纳一个丰富的理论，但我们在它们中计算了这样的，潜在的，不同的对象，作为一边R的对偶复形，另一边，环本身。在几个方面，这两个例子构成了极端，他们的良好理解的性质作为我们的研究指导方针;然而，就业，在最近的研究环同态，复合物“躺在”这些极端是激励。
Let R be a commutative Noetherian ring. We study R–modules, and complexes of such, with excellent duality properties. While their common properties are strong enough to admit a rich theory, we count among them such, potentially, diverse objects as dualizing complexes for R on one side, and on the other, the ring itself. In several ways, these two examples constitute the extremes, and their well-understood properties serve as guidelines for our study; however, also the employment, in recent studies of ring homomorphisms, of complexes “lying between” these extremes is incentive.