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Quasi-Galois theory in symmetric monoidal categories

Pauwels, Bregje

Description

Given a ring object A in a symmetric monoidal category, we investigate what it means for the extension 1 -> A to be (quasi-) Galois. In particular, we define splitting ring extensions and examine how they occur. Specializing to tensor-triangulated categories, we study how extension-of-scalars along a quasi-Galois ring object affects the Balmer spectrum. We define what it means for a separable ring to have constant degree, which is a necessary and sufficient condition for the existence of a...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/170689
Source: Algebra & Number Theory
DOI: 10.2140/ant.2017.11.1891
Access Rights: Open Access

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