Splitting tower and degree of tt-rings

Abstract

After constructing a splitting tower for separable commutative ring objects in tensor-triangulated categories, we define and study their degree.

11 pages. Slight modifications in v2, to appear in Algebra and Number Theory

References in corpus (1)

• Stacks of group representations

Cited by in corpus (4)

• The spectrum of the equivariant stable homotopy category of a finite group
• Separable extensions in tensor-triangular geometry and generalized Quillen stratification
• A characterization of finite étale morphisms in tensor triangular geometry
• Quasi-Galois theory in symmetric-monoidal categories