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You searched for +publisher:"University of Illinois – Chicago" +contributor:("Hoobler, Raymond"). One record found.

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University of Illinois – Chicago

1. Wechter, Matthew A. Differential Operators on Finite Purely Inseparable Extensions.

Degree: 2013, University of Illinois – Chicago

We study the the differential operators of a finite modular field extension. Using the Jacobson-Bourbaki Theorem, we establish criteria for when a subalgebra of the differential operators on an extension corresponds to an intermediate modular extension. Furthermore, we can determine when an extension is modular using a sequence of modules of differentials. Finally, this thesis will clarify and expand on Gerstenhaber's theory of higher derivations and their correspondences with modular extensions, and we determine criteria for when a subspace of the symbol algebra corresponds to an intermediate extension in a simple example. Advisors/Committee Members: Gillet, Henri (advisor), Coskun, Izzet (committee member), Popa, Mihnea (committee member), Takloo-Bighash, Ramin (committee member), Hoobler, Raymond (committee member).

Subjects/Keywords: Galois theory; purely inseparable extension; higher derivation; modular extension

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Wechter, M. A. (2013). Differential Operators on Finite Purely Inseparable Extensions. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10166

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Wechter, Matthew A. “Differential Operators on Finite Purely Inseparable Extensions.” 2013. Thesis, University of Illinois – Chicago. Accessed June 07, 2020. http://hdl.handle.net/10027/10166.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Wechter, Matthew A. “Differential Operators on Finite Purely Inseparable Extensions.” 2013. Web. 07 Jun 2020.

Vancouver:

Wechter MA. Differential Operators on Finite Purely Inseparable Extensions. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jun 07]. Available from: http://hdl.handle.net/10027/10166.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wechter MA. Differential Operators on Finite Purely Inseparable Extensions. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10166

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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