Katıcan TuğçeOner T.Borumand Saeid A.2023-06-162023-06-1620230430-32021827-1510https://doi.org/10.1007/s11565-022-00407-8https://hdl.handle.net/20.500.14365/3425The main objective of this study is to introduce a neutrosophic N- subalgebra (ideal) of L-algebras and to investigate some properties. It is shown that the level-set of a neutrosophic N- subalgebra (ideal) of an L-algebra is its subalgebra (ideal), and the family of all neutrosophic N- subalgebras of an L-algebra forms a complete distributive modular lattice. Additionally, it is proved that every neutrosophic N- ideal of an L-algebra is the neutrosophic N- subalgebra but the inverse of the statement may not be true in general. As the concluding part, some special cases are provided as ideals which are particular subsets of an L-algebra defined due to N- functions. © 2022, The Author(s) under exclusive license to Università degli Studi di Ferrara.eninfo:eu-repo/semantics/closedAccessIdealL-algebraNeutrosophic N- idealNeutrosophic N- subalgebraArticle10.1007/s11565-022-00407-82-s2.0-85131825509