Cohomology Operators Defined By A Deformation
Cohomology Operators Defined By A Deformation
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由变形定义的上同调算子
DOI：
10.1006/jabr.1997.7317
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发表时间：
1998
影响因子：
0.9
通讯作者：
Li
中科院分区：
文献类型：
--
作者：
L. Avramov;Li
。交换环R上模的许多上同调信息是用各种Ext和Tor模的合成积来表示的。在使用这些信息的两个主要困难是，由此产生的代数和模块结构很少是有限的，产品几乎从来没有交换。一个重要的例外是，<$4 R s Qr x对于Koszul-正则集x s x，.，x在交换环1 c Q中;我们认为Q是R在正则基上的变形。宽x
Ž. A lot of co homological information on modules over a commutative ring R is encoded in terms of composition products of various Ext and Tor modules. Two main difficulties in using this information are that the resulting algebra and module structures are seldom finite, and the products are almost never commutative. One significant exception occurs when Ž. Ä 4 R s Qr x for a Koszul-regular set x s x,..., x in a commutative ring 1 c Q; we think of Q as a deformation of R over a regular base. w x