On the fractions of semi-Mackey and Tambara functors |
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Authors: | Hiroyuki Nakaoka |
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Institution: | Department of Mathematics and Computer Science, Kagoshima University, 1-21-35 Korimoto, Kagoshima 890-0065, Japan |
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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. |
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