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arXiv · 2402.04155

Quotients of Leavitt path algebras over rings by $I$-basic graded ideals

Sevgi Harman·Müge Kanuni·Guillermo Vera de Salas
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Abstract

In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an $I$-basic graded ideal, and the quotient of a Leavitt path algebra of a row-finite graph by an arbitrary graded ideal are considered. The result of the quotient of a Leavitt path algebra by an arbitrary graded ideal is extended by using the function $\varphi$. Examples are given to illustrate the results.

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Sevgi Harman, Müge Kanuni, Guillermo Vera de Salas. 2024-02-06. Quotients of Leavitt path algebras over rings by $I$-basic graded ideals. https://arxiv.org/abs/2402.04155

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