Lia Vaš

activity

20072023

most citedCanonical traces and directly finite Leavitt path algebras

14 citations · 28 across the 27 of their papers we have counts for

collaborators

32 papers

math.RA2023

Graph characterization of the annihilator ideals of Leavitt path algebras

Lia Vas

If $E$ is a graph and $K$ is a field, we consider an ideal $I$ of the Leavitt path algebra $L_{K} (E)$ of $E$ over $K$ . We describe the admissible pair corresponding to the smallest g…

math.RA2023

Porcupine-quotient graphs, the fourth primary color, and graded composition series of Leavitt path algebras

Lia Vas

If $E$ is a directed graph, $K$ is a field, and $I$ is a graded ideal of the Leavitt path algebra $L_{K} (E),$ $I$ is completely determined by an admissible pair $(H, S)$ of two sets o…

math.RA2022

Annihilator ideals of graph algebras

Lia Vas

If $I$ is a (two-sided) ideal of a ring $R$ , we let $ann_{l} (I) = {r \in R ∣ r I = 0},$ $ann_{r} (I) = {r \in R ∣ I r = 0},$ and $\operatorname{ann}(I)=\operat…

math.RA2022★ 1 cited

Graded irreducible representations of Leavitt path algebras: a new type and complete classification

Lia Vas

We present a new class of graded irreducible representations of a Leavitt path algebra. This class is new in the sense that its representation space is not isomorphic to any of the…

math.RA2021

Every graded ideal of a Leavitt path algebra is graded isomorphic to a Leavitt path algebra

Lia Vas

We show that every graded ideal of a Leavitt path algebra is graded isomorphic to a Leavitt path algebra. It is known that a graded ideal $I$ of a Leavitt path algebra is isomorphi…

math.RA2021

Cancellation properties of graded and nonunital rings. Graded clean and graded exchange Leavitt path algebras

Lia Vas

Various authors have been generalizing some unital ring properties to nonunital rings. We consider properties related to cancellation of modules (being unit-regular, having stable…