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On the fractions of semi-Mackey and Tambara functors

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.

preprint2011arXivOpen access
Hiroyuki Nakaoka
math.CT
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Hiroyuki Nakaoka

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