English

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

Rings and Algebras 2024-03-05 v2

Abstract

In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an II-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 φ\varphi. Examples are given to illustrate the results.

Keywords

Cite

@article{arxiv.2402.04155,
  title  = {Quotients of Leavitt path algebras over rings by $I$-basic graded ideals},
  author = {Sevgi Harman and Müge Kanuni and Guillermo Vera de Salas},
  journal= {arXiv preprint arXiv:2402.04155},
  year   = {2024}
}