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math.RA2004
-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…
math.RA2004
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…
math.RA2004★ 1 cited
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…