3 papers
math.AC2025
On the Weierstrass Preparation Theorem over General Rings
Jason Bell, Peter Malcolmson, Frank Okoh +1
We study rings over which an analogue of the Weierstrass preparation theorem holds for power series. We show that a commutative ring admits a factorization of every power serie…
math.RA2022
Milnor-Moore theorems for bialgebras in characteristic zero
Joey Beauvais-Feisthauer, Yatin Patel, Andrew Salch
Over fields of characteristic zero, we construct equivalences between certain categories of bialgebras which are generated by grouplikes and generalized primitives, and certain cat…
math.NT2021
Minimal Integral Models for Principal Series Weil Characters
Luca Candelori, Yatin Patel
We prove a conjecture of Udo Riese about the minimal ring of definition for principal series Weil characters of , for an odd prime. More precisely, w…