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 |
Show full item record
CORE Recommender
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.