RT Conference Proceedings T1 An account on certain annihilating properties in Leavitt path algebras. A1 Buhphang, Ardeline Mary K1 Anillos (Álgebra) K1 Álgebra AB We present that for any graph E and for a commutative unitalring R, the nil ideals of the Leavitt path algebra LR(E) depend solely only thenil 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 idealI of a Leavitt path algebra LR(E) the ideal M2(I) is also nil. Thus obtainingthat Leavitt path algebras over arbitrary graphs satisfy the K¨oethe’s conjecture. YR 2024 FD 2024 LK https://hdl.handle.net/10630/31639 UL https://hdl.handle.net/10630/31639 LA eng NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026