Contents Online
Mathematical Research Letters
Volume 8 (2001)
Number 3
Unstable Cohen–Macaulay Algebras
Pages: 347 – 359
DOI: https://dx.doi.org/10.4310/MRL.2001.v8.n3.a10
Author
Abstract
We characterize Cohen–Macaulay algebras in the category ${\Cal K_{fg}}$ of unstable Noetherian algebras over the Steenrod algebra via the depth of the $\steenrod^*$-invariant ideals. This allows us to transfer the Cohen–Macaulay property to suitable subalgebras. We apply this to rings of invariants of finite groups and to the $\steenrod^*$-inseparable closure.
Published 1 January 2001