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UCLA

1. Pauwels, Bregje Ellen. Quasi-Galois theory in tensor-triangulated categories.

Degree: Mathematics, 2015, UCLA

URL: http://www.escholarship.org/uc/item/65q0q1gv

We consider separable ring objects in symmetric monoidal categories and investigate what it means for an extension of ring objects to be (quasi)-Galois. Reminiscent of field theory, we define splitting ring extensions and examine how they occur. We also establish a version of quasi-Galois-descent for ring objects.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 turns out to be a necessary and sufficient condition for the existence of a quasi-Galois closure. Finally, we illustrate the above for separable rings occurring in modular representation theory.

Subjects/Keywords: Mathematics; category of modules; etale algebra; galois theory; ring object; separable monad; triangulated category

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APA (6^{th} Edition):

Pauwels, B. E. (2015). Quasi-Galois theory in tensor-triangulated categories. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/65q0q1gv

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Pauwels, Bregje Ellen. “Quasi-Galois theory in tensor-triangulated categories.” 2015. Thesis, UCLA. Accessed December 03, 2020. http://www.escholarship.org/uc/item/65q0q1gv.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Pauwels, Bregje Ellen. “Quasi-Galois theory in tensor-triangulated categories.” 2015. Web. 03 Dec 2020.

Vancouver:

Pauwels BE. Quasi-Galois theory in tensor-triangulated categories. [Internet] [Thesis]. UCLA; 2015. [cited 2020 Dec 03]. Available from: http://www.escholarship.org/uc/item/65q0q1gv.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pauwels BE. Quasi-Galois theory in tensor-triangulated categories. [Thesis]. UCLA; 2015. Available from: http://www.escholarship.org/uc/item/65q0q1gv

Not specified: Masters Thesis or Doctoral Dissertation