Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/4824
Title: Neutrosophic N−ideals on Sheffer Stroke Bck-Algebras
Authors: Öner, T.
Katican T.
Rezaei, A.
Keywords: ideal
neutrosophic N− subalgebra
neutrosophic N−ideal
Sheffer stroke BCK-algebra
subalgebra
Publisher: The Indonesian Mathematical Society
Abstract: In this study, a neutrosophic N−subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N−subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this algebra and vice versa. Then we present that the family of all neutrosophic N−subalgebras of a Sheffer stroke BCK-algebra forms a complete distributive modular lattice and that every neutrosophic N−ideal of a Sheffer stroke BCK-algebra is the neutrosophic N−subalgebra but the inverse does not usually hold. Also, relationships between neutrosophic N−ideals of Sheffer stroke BCK-algebras and homomorphisms are analyzed. Finally, we determine special subsets of a Sheffer stroke BCK-algebra by means of N−functions on this algebraic structure and examine the cases in which these subsets are its ideals. © 2023 The Author(s).
URI: https://doi.org/10.22342/jims.29.1.1165.45-63
https://hdl.handle.net/20.500.14365/4824
ISSN: 2086-8952
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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