TL;DR
This paper introduces a splitting tower for separable commutative ring objects in tensor-triangulated categories and explores the concept of their degree, providing new insights into their structural properties.
Contribution
It defines and investigates the degree of splitting towers for separable commutative ring objects in tensor-triangulated categories, a novel approach in this area.
Findings
Defined the splitting tower for ring objects
Introduced the concept of degree for these towers
Analyzed properties and implications of the degree
Abstract
After constructing a splitting tower for separable commutative ring objects in tensor-triangulated categories, we define and study their degree.
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