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https://hdl.handle.net/20.500.14365/3425
Title: | Characterization of Ideals in L-Algebras by Neutrosophic N- Structures | Authors: | Katıcan Tuğçe Oner T. Borumand Saeid A. |
Keywords: | Ideal L-algebra Neutrosophic N- ideal Neutrosophic N- subalgebra |
Publisher: | Springer-Verlag Italia s.r.l. | Abstract: | The 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. | URI: | https://doi.org/10.1007/s11565-022-00407-8 https://hdl.handle.net/20.500.14365/3425 |
ISSN: | 0430-3202 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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