Abstract
We explore the singularity classes -nilpotent, weakly -nilpotent, and generalized weakly -nilpotent under faithfully flat local ring maps. As an application, we show that the loci of primes in a Noetherian ring of prime characteristic which define either weakly -nilpotent or -nilpotent local rings are open with respect to the Zariski topology whenever is -finite or essentially of finite type over an excellent local ring.
Citation
Jennifer Kenkel. Kyle Maddox. Thomas Polstra. Austyn Simpson. "-NILPOTENT RINGS AND PERMANENCE PROPERTIES." J. Commut. Algebra 15 (4) 559 - 575, Winter 2023. https://doi.org/10.1216/jca.2023.15.559
Information