On the fractions of semi-Mackey and Tambara functors

2011/03/21 by Hiroyuki Nakaoka, Nakaoka, Hiroyuki · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1103.3991

openalex publication_date 2011/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Ideals of Tambara functors

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