张量积的长度复杂性
Length complexity of tensor products
摘要：
本文介绍了诺特环$R$上两个有限生成模的张量积$A\otimes_RB$的挠率的度量方法.这种观点与Auslander和其他作者在工作中对Tor的刚性进行的研究非常不同。在这里的重点是搜索的扭转部分的$A\otimes_R B$在全球不变量的$A$和$B$在特殊类的模块：向量丛和模块的维度最多为3。
英文摘要：
In this paper we introduce techniques to gauge the torsion of the tensor product $A\otimes_RB$ of two finitely generated modules over a Noetherian ring $R$. The outlook is very different from the study of the rigidity of Tor carried out in the work of Auslander and other authors. Here the emphasis in on the search for bounds for the torsion part of $A\otimes_R B$ in terms of global invariants of $A$ and of $B$ in special classes of modules: vector bundles and modules of dimension at most three.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
