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University of Georgia

1. Matthews, Graham Yakov. Computing generators and relations for matrix algebras.

Degree: PhD, Mathematics, 2004, University of Georgia

URL: http://purl.galileo.usg.edu/uga_etd/matthews_graham_y_200408_phd

We describe algorithms for computing a presentation for a matrix algebra over a finite field, and for computing the basic algebra associated to such a matrix algebra. We give correctness proofs of our algorithms, and implementations of them in the Magma computer algebra system. We use these implementations to compute several basic algebras.
*Advisors/Committee Members: Jon Carlson.*

Subjects/Keywords: Matrix Algebras

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APA (6^{th} Edition):

Matthews, G. Y. (2004). Computing generators and relations for matrix algebras. (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/matthews_graham_y_200408_phd

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

Matthews, Graham Yakov. “Computing generators and relations for matrix algebras.” 2004. Doctoral Dissertation, University of Georgia. Accessed October 20, 2019. http://purl.galileo.usg.edu/uga_etd/matthews_graham_y_200408_phd.

MLA Handbook (7^{th} Edition):

Matthews, Graham Yakov. “Computing generators and relations for matrix algebras.” 2004. Web. 20 Oct 2019.

Vancouver:

Matthews GY. Computing generators and relations for matrix algebras. [Internet] [Doctoral dissertation]. University of Georgia; 2004. [cited 2019 Oct 20]. Available from: http://purl.galileo.usg.edu/uga_etd/matthews_graham_y_200408_phd.

Council of Science Editors:

Matthews GY. Computing generators and relations for matrix algebras. [Doctoral Dissertation]. University of Georgia; 2004. Available from: http://purl.galileo.usg.edu/uga_etd/matthews_graham_y_200408_phd