On the fractions of semi-Mackey and Tambara functors

Abstract

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.

arXiv comment21 pages

References in corpus (2)

• Tambarization of a Mackey functor and its application to the Witt-Burnside construction
• Ideals of Tambara functors