论文标题

Buchsbaum-eisenbud oi tomodules

Buchsbaum-Eisenbud complexes of OI-modules

论文作者

Fieldsteel, Nathan, Nagel, Uwe

论文摘要

我们将Koszul和Buchsbaum-Eisenbud复合物的理论扩展到了交换性OI-Algebras上的模块,并表明它们仍然具有经典复合物的熟悉特性。特别是,OI复合物是一般的无环,通常可以提供宽度最小的自由分辨率。

We extend the theory of Koszul and Buchsbaum-Eisenbud complexes to modules over commutative OI-algebras and show that they still have the familiar properties of the classical complexes. In particular, the OI-complexes are generically acyclic and often provide width-wise minimal free resolutions.

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