论文标题

在一类Burch理想和Huneke和Wiegand的猜想上

On a class of Burch ideals and a conjecture of Huneke and Wiegand

论文作者

Celikbas, Olgur, Kobayashi, Toshinori

论文摘要

在本文中,我们关注的是Huneke和Wiegand的长期猜想。我们介绍了一系列新的理想,并证明了这些阶级的理想可以满足所讨论的猜想的结论。我们还研究了Burch理想类别与我们定义的理想的关系之间的关系,并构建了一些证实我们结果的例子。

In this paper we are concerned with a long-standing conjecture of Huneke and Wiegand. We introduce a new class of ideals and prove thateach ideal from such class satisfies the conclusion of the conjecture in question. We also study the relation between the class of Burch ideals and that of the ideals we define, and construct several examples that corroborate our results.

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