超矩阵的Dennis超迹与霍赫希尔德同调
The Dennis' Supertrace and the Hochschild Homology of Supermatrices
摘要：
本文将Dennis迹（对矩阵）推广到任意（不一定是交换的）单位超代数上的超矩阵。通过与未分次的情况下，我们展示了如何可以使用这个映射来构造从超代数的霍赫希尔德同调到超矩阵代数的霍赫希尔德同调的同构。
英文摘要：
We construct, in this paper, a generalization of the Dennis trace (for matrices) to the case of the supermatrices over an arbitrary (not necessarily commutative) superalgebra with unit. By analogy with the ungraded case, we show how it is possible to use this map to construct an isomorphism from the Hochschild homology of the superalgebra to the Hochschild homology of the supermatrix algebra.
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。
