3 papers
math.NT2022
On a General Class of A-functions
Joseph Burnett, Alex Taylor
Expanding upon recent work, a new class of -functions is introduced that can be viewed as an appropriate generalization of the class of regular -functions, the class of struc…
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…