2026-06-08T17:31:46Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/316392026-02-03T11:53:20Zcom_10630_2254col_10630_37959

An account on certain annihilating properties in Leavitt path algebras. Buhphang, Ardeline Mary Anillos (Álgebra) Álgebra Leavitt path algebra Nil ideal Jacobson radical We present that for any graph E and for a commutative unital ring R, the nil ideals of the Leavitt path algebra LR(E) depend solely only the nil ideals of the ring R. A connection between the Jacobson radical of LR(E) and the Jacobson radical of R is obtained. Further we show that for a nil ideal I of a Leavitt path algebra LR(E) the ideal M2(I) is also nil. Thus obtaining that Leavitt path algebras over arbitrary graphs satisfy the K¨oethe’s conjecture. Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. 2024-06-18T06:47:20Z 2024-06-18T06:47:20Z 2024-06-14 2024 conference output https://hdl.handle.net/10630/31639 eng Conferencia de la profesora Ardeline Mary Buhphang Málaga, España. Julio de 2024 open access application/pdf