Multivariable -modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field

J Ray, F Wei, G Zábrádi - arXiv preprint arXiv:2005.11887, 2020 - arxiv.org
Let $ K $ be a complete discretely valued field with mixed characteristic $(0, p) $ and
imperfect residue field $ k_K $. Let $\Delta $ be a finite set. We construct an equivalence of …

Regularity and Related Properties in Tensor Products of Algebras Over a Field

S Kabbaj, F Suwayyid - The International Conference on Mathematics & …, 2020 - Springer
It has been established, quite recently, that a tensor product of k-algebras, if Noetherian, it
inherits the concepts of Cohen–Macaulay ring, Gorenstein ring, and complete intersection …