On the fractions of semi-Mackey and Tambara functors

preprint2011arXivOpen access

Abstract

For a finite group GG, a semi-Mackey (resp. Tambara) functor is regarded as a GG-bivariant analog of a commutative monoid (resp. ring). As such, some naive algebraic constructions are generalized to this GG-bivariant setting. In this article, as a GG-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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