Ideals of Tambara functors

2011/01/31 by Hiroyuki Nakaoka, Nakaoka, Hiroyuki · 6 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1101.5982

openalex publication_date 2011/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a finite group G, a Tambara functor on G is regarded as a G-bivariant analog of a commutative ring. In this article, we consider a G-bivariant analog of the ideal theory for Tambara functors.

Citations

• A generalization of The Dress construction for a Tambara functor, and polynomial Tambara functors

Cited by

• Inverting Integers in Tambara Functors
• On the fractions of semi-Mackey and Tambara functors
• The subgroup stratification of Nakaoka spectra
• The RO(K)-graded homotopy of Klein-four normed Mackey functors
• Andre-Quillen (co)homology and Equivariant Stable Homotopy Theory
• The spectrum of the Burnside Tambara functor

Related

• Spectrum of the Burnside Tambara functor on a cyclic p-group
• A generalization of The Dress construction for a Tambara functor, and polynomial Tambara functors
• On the fractions of semi-Mackey and Tambara functors
• Norms of Generalized Mackey and Tambara Functors
• Tambara functors