The Algebra of Supernatural Matrices
Document Type
Presentation Abstract
Presentation Date
3-10-2025
Abstract
The algebra of supernatural matrices is a key example in the theory of locally finite central simple algebras. Supernatural matrices are a minimal solution to the equation of unital algebras Mn(X) ∼= X, which we compare to several similar conditions involving cancellation of matrices. This algebra has appeared under various names before, and it generalizes both McCrimmon's deep matrices algebra and m-petal Leavitt path algebra.
Recommended Citation
Gilat, Shira, "The Algebra of Supernatural Matrices" (2025). Colloquia of the Department of Mathematical Sciences. 688.
https://scholarworks.umt.edu/mathcolloquia/688
Additional Details
March 10, 2025 at 3:00 p.m. Math 103