R. Goswami

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math.RA2026

Properties of the $V$ -Monoid of Weighted Leavitt Path Algebras

Rishabh Goswami, Alfilgen Sebandal

For a row-finite weighted graph $(E, w)$ , Preusser showed that the monoid $V (L_{k} (E, w))$ of finitely generated projective modules over the weighted Leavitt path algebra $L_…

math.RA2023

A note on injectivity of monomial algebras

Ardeline M. Buhphang, Rishabh Goswami, Amit Kuber

We show that a monomial algebra $Λ$ over an algebraically closed field $K$ is self-injective if and only if each map $soc (_{Λ} Λ) \to_{Λ} Λ$ can be extended to an endomorphism…

math.RA2023

Leavitt Path Algebras of Quantum Quivers

Joshua Graham, Rishabh Goswami, Jason Palin

Adapting a recent work of Brannan et al., on extending graph $C^{*}$ -algebras to Quantum graphs, we introduce "Quantum Quivers" as an analogue of quivers where the edge and vertex se…

Properties of the V-Monoid of Weighted Leavitt Path Algebras

A note on injectivity of monomial algebras

Leavitt Path Algebras of Quantum Quivers

Properties of the $V$ -Monoid of Weighted Leavitt Path Algebras