论文标题

截短的矿石扩展的分辨率

Resolutions for Truncated Ore Extensions

论文作者

McPhate, Dustin

论文摘要

我们扩展了最新的结果,以便在截短的多项式环的扭曲张量产品上构建模块的投射分辨率。我们首先要注意将这些代数作为一种矿石扩展所需的条件。然后,我们将此并行与矿石扩展相似,以开发一种构建投影分辨率的方法。最后,我们使用新结构来计算一个示例家庭的决议。

We extend recent results in order to construct projective resolutions for modules over twisted tensor products of truncated polynomial rings. We begin by taking note of the conditions necessary to think of these algebras as a type of Ore extension. We then use this parallel with Ore extensions to develop a method for constructing projective resolutions. Finally we use the new construction to compute a resolution for a family of examples.

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