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arxiv: 1103.3991 · v1 · pith:ISUZQDFYnew · submitted 2011-03-21 · 🧮 math.CT

On the fractions of semi-Mackey and Tambara functors

classification 🧮 math.CT
keywords semi-mackeybivarianttambaraanalogfractionfunctorrespring
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For a finite group $G$, a semi-Mackey (resp. Tambara) functor is regarded as a $G$-bivariant analog of a commutative monoid (resp. ring). As such, some naive algebraic constructions are generalized to this $G$-bivariant setting. In this article, as a $G$-bivariant analog of the fraction of a ring, we consider {\it fraction} of a Tambara (and a semi-Mackey) functor, by a multiplicative semi-Mackey subfunctor.

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