Galois and separable extensions of Tambara functors

I will explain how to transfer the notions of separability and Galois extensions from ordinary to equivariant algebra. The definition of separability of Tambara functors is a straightforward generalization. I'll show that the Burnside Tambara functor is separably closed. The notion of Galois extensions of Tambara functors is closely modelled on the one for commutative rings and it turns out that Galois extensions are separable. I'll discuss some examples and show how to interpret Nullstellensatzian objects in the category of Tambara functors in terms of Galois extensions.