3 papers
math.OA2026
Single commutators in -algebras
Lu Cui, Minghui Ma
Let be a simple unital -algebra with real rank zero, nonempty tracial state space , and strict comparison of projections. We prove that every ele…
math.OA2025
On cleanness of AW*-algebras
Lu Cui, Minghui Ma
A ring is called clean if every element is the sum of an invertible element and an idempotent. This paper investigates the cleanness of AW*-algebras. We prove that all finite AW*-a…
math.NT2021
On arithmetic properties of Cantor sets
Lu Cui, Minghui Ma
Three types of Cantor sets are studied.For any integer , we show that every real number in is the sum of at most -th powers of elements in the Cantor ternary…