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math.RA2019
A Short Proof of Köthe's Conjecture for Compact Rings
Scott Goodson, Alex Taylor
We provide a new proof that the upper nilradical of a compact ring coincides with the sum of its left nil ideals using the properties of orthogonal idempotents in compact rings.
math.RA2019
An Algorithmic Approach To Solving B = BCX + YAB Using Quotient Spaces
Alex Taylor
One well-known necessary and sufficient condition for equality in the Frobenius rank inequality due to Tian and Styan is that the matrix equation B = BCX + YAB be solvable for X an…