arXiv subjects

H. Larki

Publications and source records attributed to H. Larki.

2 recordsLinked to original sources

arXiv2021

Prime and Primitive Ideals of Ultragraph Leavitt Path Algebras

Let $\mathcal G$ be an ultragraph and let $K$ be a field. We describe prime and primitive ideals in the ultragraph Leavitt path algebra $L_K(\mathcal G)$. We identify the graded prime ideals in terms of downward directed sets and then we characterize the non-graded prime ideals. We show that the non-graded prime ideals of $L_K(\mathcal G)$ are always primitive.

math.RA↗

arXiv2021

The Leavitt Path Algebras of Ultragraphs

We introduce the Leavitt path algebras of ultragraphs and we characterize their ideal structures. We then use this notion to introduce and study the algebraic analogous of Exel-Laca algebras.

math.RA↗