3 papers
math.RA2019
Products of Ideals in Leavitt Path Algebras
Gene Abrams, Zachary Mesyan, Kulumani M. Rangaswamy
Ideals in Leavitt path algebras have been shown to share many properties with those of integral domains. Since studying factorizations of ideals in integral domains into special ty…
math.GR2018
Topological Transformation Monoids
Z. Mesyan, J. D. Mitchell, Y. H. Péresse
We investigate semigroup topologies on the full transformation monoid T(X) of an infinite set X. We show that the standard pointwise topology is the weakest Hausdorff semigroup top…
math.RA2018
Infinite-Dimensional Triangularizable Algebras
Zachary Mesyan
Let End(V) denote the ring of all linear transformations of an arbitrary k-vector space V over a field k. We define a subset X of End(V) to be "triangularizable" if V has a well-or…