3 papers
math.RA2025
Relative Generalized Boolean Dynamical System Algebras
Allen Zhang
We study an algebraic analog of a C*-algebra associated to a generalized Boolean dynamical system which parallels the relation between graph C*-algebras and Leavitt path algebras.…
math.RA2025
Morita Equivalence of Subrings with Applications to Inverse Semigroup Algebras
Allen Zhang
We develop a technique to show the Morita equivalence of certain subrings of a ring with local units. We then apply this technique to develop conditions that are sufficient to show…
math.RA2025
Partial Actions on Generalized Boolean Algebras with Applications to Inverse Semigroups and Combinatorial -Algebras
Allen Zhang
We define the notion of a partial action on a generalized Boolean algebra and associate to every such system and commutative unital ring an -algebra. We prove that every str…