Research Article

On neutrosophic submodules of a module

Volume: 46 Number: 5 October 1, 2017
EN

On neutrosophic submodules of a module

Abstract

The target of this study is to observe some of the algebraic structures of a single valued neutrosophic set. So, we introduce the concept of a neutrosophic submodule of a given classical module and investigate some of the crucial properties and characterizations of the proposed concept.

Keywords

References

  1. Arockiarani, I., Sumathi, I. R. and Martina Jency, J., Fuzzy neutrosophic soft topological spaces, International Journal of Mathematical Arhchive 6 (10), 225-238, 2013.
  2. Borzooei, R.A., Farahani, H. and Moniri, M., Neutrosophic deductive lters on BL-algebras, Journal of Intelligent and Fuzzy Systems 26 (6), 2993-3004, 2014.
  3. Çetkin, V. and Aygün, H., An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29, 1941-1947, 2015.
  4. Çetkin, V. and Aygün, H., A new approach to neutrosophic subrings, submitted.
  5. Hungerford, T. W., Algebra, Graduate Texts in Mathematics 73, Springer 1974.
  6. Vasantha Kandasamy W.B., and Smarandache, F., Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
  7. Majumdar, P. and Samanta, S.K., On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy Systems 26 (3), 1245-1252, 2014.
  8. Salama A.A., and Al-Blowi, S.A., Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Math. 3, (4) 31-35, 2012.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Vildan Çetkin * This is me

Banu Pazar Varol This is me

Publication Date

October 1, 2017

Submission Date

March 17, 2016

Acceptance Date

November 28, 2016

Published in Issue

Year 2017 Volume: 46 Number: 5

APA
Çetkin, V., Pazar Varol, B., & Aygün, H. (2017). On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics, 46(5), 791-799. https://izlik.org/JA83DE89SU
AMA
1.Çetkin V, Pazar Varol B, Aygün H. On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics. 2017;46(5):791-799. https://izlik.org/JA83DE89SU
Chicago
Çetkin, Vildan, Banu Pazar Varol, and Halis Aygün. 2017. “On Neutrosophic Submodules of a Module”. Hacettepe Journal of Mathematics and Statistics 46 (5): 791-99. https://izlik.org/JA83DE89SU.
EndNote
Çetkin V, Pazar Varol B, Aygün H (October 1, 2017) On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics 46 5 791–799.
IEEE
[1]V. Çetkin, B. Pazar Varol, and H. Aygün, “On neutrosophic submodules of a module”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, pp. 791–799, Oct. 2017, [Online]. Available: https://izlik.org/JA83DE89SU
ISNAD
Çetkin, Vildan - Pazar Varol, Banu - Aygün, Halis. “On Neutrosophic Submodules of a Module”. Hacettepe Journal of Mathematics and Statistics 46/5 (October 1, 2017): 791-799. https://izlik.org/JA83DE89SU.
JAMA
1.Çetkin V, Pazar Varol B, Aygün H. On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics. 2017;46:791–799.
MLA
Çetkin, Vildan, et al. “On Neutrosophic Submodules of a Module”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, Oct. 2017, pp. 791-9, https://izlik.org/JA83DE89SU.
Vancouver
1.Vildan Çetkin, Banu Pazar Varol, Halis Aygün. On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Oct. 1;46(5):791-9. Available from: https://izlik.org/JA83DE89SU