20 citations · 58 across the 25 of their papers we have counts for
31 papers
Morita equivalence for graded rings
Gene Abrams, Efren Ruiz, Mark Tomforde
The classical Morita Theorem for rings established the equivalence of three statements, involving categorical equivalences, isomorphisms between corners of finite matrix rings, and…
Connections between Abelian sandpile models and the -theory of weighted Leavitt path algebras
Gene Abrams, Roozbeh Hazrat
In our main result, we establish that any conical sandpile monoid of a directed sandpile graph can be realised as the -monoid of a weighted Leavitt pat…
Injective modules over the Jacobson algebra
Gene Abrams, Francesca Mantese, Alberto Tonolo
For a field , let denote the Jacobson algebra . We give an explicit construction of the injective envelope of each of the (infinit…
Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph -algebras
Gene Abrams, Mikhailo Dokuchaev, T. G. Nam
We show that the endomorphism ring of any nonzero finitely generated projective module over the Leavitt path algebra of an arbitrary graph with coefficients in a field…
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…
Corners of Leavitt path algebras of finite graphs are Leavitt path algebras
Gene Abrams, T. G. Nam
We achieve an extremely useful description (up to isomorphism) of the Leavitt path algebra of a finite graph with coefficients in a field as a direct sum of matrix…