10 citations · 29 across the 15 of their papers we have counts for
5 papers · 1 filter
The Universal Deformation of the Witt Ring Scheme
Christopher Deninger, Young-Tak Oh
We determine the universal deformation over reduced base rings of the Witt ring scheme enhanced by a Frobenius lift and Verschiebung. It agrees with a q-deformation earlier introdu…
Generalizing Witt vector construction
Young-Tak Oh
The purpose of this this paper is to generalize the functors arising from the theory of Witt vectors duto to Cartier. Given a polynomial , we construct a func…
-deformation of Witt-Burnside rings
Young-Tak Oh
In this paper, we construct a -deformation of the Witt-Burnside ring of a profinite group over a commutative ring, where ranges over the set of integers. When , it coin…
Generalized Burnside-Grothendieck ring functor and aperiodic ring functor associated with profinite groups
Young-Tak Oh
For every profinite group , we construct two covariant functors and from the category of commutative rings with identity to itself, and show that…
Necklace rings and logarithmic functions
Young-Tak Oh
In this paper, we develop the theory of the necklace ring and the logarithmic function. Regarding the necklace ring, we introduce the necklace ring functor from the category o…