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On the fractions of semi-Mackey and Tambara functors
Authors:Hiroyuki Nakaoka
Institution:Department of Mathematics and Computer Science, Kagoshima University, 1-21-35 Korimoto, Kagoshima 890-0065, Japan
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 fraction of a Tambara (and a semi-Mackey) functor, by a multiplicative semi-Mackey subfunctor.
Keywords:
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