24 citations · 96 across the 30 of their papers we have counts for
4 papers · 1 filter
General heart construction for twin torsion pairs on triangulated categories
Hiroyuki Nakaoka
In our previous article, we constructed an abelian category from any torsion pair on a triangulated category. This generalizes the heart of a -structure and the ideal quotient b…
Biset transformations of Tambara functors
Hiroyuki Nakaoka
If we are given an --biset for finite groups and , then any Mackey functor on can be transformed by into a Mackey functor on . In this article, we show…
On the fractions of semi-Mackey and Tambara functors
Hiroyuki Nakaoka
For a finite group , a semi-Mackey (resp. Tambara) functor is regarded as a -bivariant analog of a commutative monoid (resp. ring). As such, some naive algebraic construction…
Ideals of Tambara functors
Hiroyuki Nakaoka
For a finite group , a Tambara functor on is regarded as a -bivariant analog of a commutative ring. In this article, we consider a -bivariant analog of the ideal theor…