Algebra & Number Theory

Splitting tower and degree of tt-rings

Paul Balmer

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

Article information

Algebra Number Theory, Volume 8, Number 3 (2014), 767-779.

Received: 10 September 2013
Revised: 2 December 2013
Accepted: 8 January 2014
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 18E30: Derived categories, triangulated categories
Secondary: 13B40: Étale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25] 20J05: Homological methods in group theory 55U35: Abstract and axiomatic homotopy theory

separable tensor triangulated category degree


Balmer, Paul. Splitting tower and degree of tt-rings. Algebra Number Theory 8 (2014), no. 3, 767--779. doi:10.2140/ant.2014.8.767.

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