Research Article

An approach to neutrosophic ideals

Volume: 1 Number: 2 June 26, 2018
EN

An approach to neutrosophic ideals

Abstract

In this paper, we aim to introduce an approach to single-valued neutorosophic ideals over a given classical ring and over a given neutrosophic subring, respectively, as a continuation of our researches on algebraic structures over single-valued neutrosophic sets. We first propose the two types of neutrosophic ideals and then present their elementary properties.

Keywords

neutrosophic set,single valued neutrosophic set,ring,ideal,homomorphism of rings

References

  1. [1] I. Arockiarani, I. R. Sumathi, J. Martina Jency, Fuzzy neutrosophic soft topological spaces, International Journalof Mathematical Arhchive 4 (10) (2013) 225-238.
  2. [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986) 87-96.
  3. [3] R. A. Borzooei, H. Farahani, M. Moniri, Neutrosophic deductive lters on BL-algebras, Journal of Intelligent and Fuzzy Systems 26 (6) (2014) 2993-3004.
  4. [4] V. C etkin, H. Aygun, An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29 (2015) 1941-1947.
  5. [5] V. C etkin, H. Aygun, An approach to neutrosophic subrings, submitted.
  6. [6] V.N.Dixit, R.Kumar, N.Ajmal, On fuzzy rings, Fuzzy Sets and Systems, 49 (1992) 205-213.
  7. [7] K. Hur, H. W. Kang, H. K. Song, Intuitionistic fuzzy subgroups and subrings, Honam Math J. 25 (1) (2003) 19-41.
  8. [8] Vasantha Kandasamy W.B., Florentin Smarandache, Neutrosophic rings, Hexis, Phoenix, Arizona, 2006.
  9. [9] Vasantha Kandasamy W.B., Florentin Smarandache, Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
  10. [10] W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982) 133-139.
APA
Çetkin, V., & Aygün, H. (2018). An approach to neutrosophic ideals. Universal Journal of Mathematics and Applications, 1(2), 132-136. https://doi.org/10.32323/ujma.383115
AMA
1.Çetkin V, Aygün H. An approach to neutrosophic ideals. Univ. J. Math. Appl. 2018;1(2):132-136. doi:10.32323/ujma.383115
Chicago
Çetkin, Vildan, and Halis Aygün. 2018. “An Approach to Neutrosophic Ideals”. Universal Journal of Mathematics and Applications 1 (2): 132-36. https://doi.org/10.32323/ujma.383115.
EndNote
Çetkin V, Aygün H (June 1, 2018) An approach to neutrosophic ideals. Universal Journal of Mathematics and Applications 1 2 132–136.
IEEE
[1]V. Çetkin and H. Aygün, “An approach to neutrosophic ideals”, Univ. J. Math. Appl., vol. 1, no. 2, pp. 132–136, June 2018, doi: 10.32323/ujma.383115.
ISNAD
Çetkin, Vildan - Aygün, Halis. “An Approach to Neutrosophic Ideals”. Universal Journal of Mathematics and Applications 1/2 (June 1, 2018): 132-136. https://doi.org/10.32323/ujma.383115.
JAMA
1.Çetkin V, Aygün H. An approach to neutrosophic ideals. Univ. J. Math. Appl. 2018;1:132–136.
MLA
Çetkin, Vildan, and Halis Aygün. “An Approach to Neutrosophic Ideals”. Universal Journal of Mathematics and Applications, vol. 1, no. 2, June 2018, pp. 132-6, doi:10.32323/ujma.383115.
Vancouver
1.Vildan Çetkin, Halis Aygün. An approach to neutrosophic ideals. Univ. J. Math. Appl. 2018 Jun. 1;1(2):132-6. doi:10.32323/ujma.383115