2 papers
math.HO2026
The Purpose of Mathematics according to Plato and Augustine
Douglas J. Dailey
In 1973, Russian mathematician I.R. Shafarevitch delivered a lecture to the Göttingen Academy of Sciences on the purpose of mathematics. The conclusion he reached in his address is…
math.AC2016
Detecting finite flat dimension of modules via iterates of the Frobenius endomorphism
Douglas J. Dailey, Srikanth B. Iyengar, Thomas Marley
It is proved that a module over a Noetherian ring of positive characteristic has finite flat dimension if there exists an integer such that $\operatorname{Tor}…