A study of the fuzzy mutiplicative center in a special class of fuzzy near ring
DOI:
https://doi.org/10.5269/bspm.67933Abstract
In this work, we describe the concept of the fuzzy multiplicative center of fuzzy
near-rings which are defined from a binary operation and we make a theoretical study of their basic properties analogous to those of ordinary near-rings. The results obtained show that the domain of fuzzy near-rings is larger than that of classical near-rings.
References
1. H. Akta¸s and N. C¸ agman, A type of fuzzy ring, Arch. Math. Logic 46, 165-177, (2007).
2. M. Ashraf, A. Boua and A. Raji, On derivations and commutativity in prime near-rings, Journal of Taibah University for Science 8, 301–306, (2014).
3. A. Boua, L. Oukhtite and A. Raji, On generalized semiderivations in 3-prime near-rings, Asian-European Journal of Mathematics 9 (2), 1650036 (11 pages), (2016).
4. V. N. Dixit, R. Kumar and N. Ajmel, On fuzzy rings, Fuzzy Syst. 49, 205-213, (1992).
5. W. J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets Syst. 8, 133-139, (1982).
6. J. N. Mordeson and D. S. Malik, Fuzzy commutative algebra, World Scientific Publishing Co. Pte. Ltd. (1998).
7. T. K. Mukherjee and M. K. Sen, On fuzzy ideals of a ring (1), Fuzzy Sets Syst. 21, 99-104, (1987).
8. M. Oukessou, A. Raji and M. Ou-mha, Fuzzy Near-rings Involving Fuzzy Binary Operations, submitted.
9. M. A. Ozturk and E. Inan, Soft -rings and idealistic soft -rings, Ann. Fuzzy Math. Inform. 1 (1), 71-80, (2011).
10. M. A. Ozturk, Y. B. Jun and H. Yazarh, A new view of fuzzy gamma rings, Hacet. J. Math. Stat. 39 (3), 365-378, (2010).
11. G. Pilz, Near-Rings, vol. 23, 2nd edn. North-Holland Math. Stud. (1983).
12. A. Raji, Results on 3-prime near-rings with generalized derivations, Beitr. Algebra Geom. 57, 823–829, (2016).
13. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35, 512-517, (1971).
14. X. Yuan, E. S. Lee, Fuzzy group based on fuzzy binary operation, Comput. Math. App. 47, 631-641, (2004).
15. Z. Yue, Prime L-fuzzy ideals and primary L-fu zzy ideals, Fuzzy Sets Syst. 27, 345-350, (1988).
2. M. Ashraf, A. Boua and A. Raji, On derivations and commutativity in prime near-rings, Journal of Taibah University for Science 8, 301–306, (2014).
3. A. Boua, L. Oukhtite and A. Raji, On generalized semiderivations in 3-prime near-rings, Asian-European Journal of Mathematics 9 (2), 1650036 (11 pages), (2016).
4. V. N. Dixit, R. Kumar and N. Ajmel, On fuzzy rings, Fuzzy Syst. 49, 205-213, (1992).
5. W. J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets Syst. 8, 133-139, (1982).
6. J. N. Mordeson and D. S. Malik, Fuzzy commutative algebra, World Scientific Publishing Co. Pte. Ltd. (1998).
7. T. K. Mukherjee and M. K. Sen, On fuzzy ideals of a ring (1), Fuzzy Sets Syst. 21, 99-104, (1987).
8. M. Oukessou, A. Raji and M. Ou-mha, Fuzzy Near-rings Involving Fuzzy Binary Operations, submitted.
9. M. A. Ozturk and E. Inan, Soft -rings and idealistic soft -rings, Ann. Fuzzy Math. Inform. 1 (1), 71-80, (2011).
10. M. A. Ozturk, Y. B. Jun and H. Yazarh, A new view of fuzzy gamma rings, Hacet. J. Math. Stat. 39 (3), 365-378, (2010).
11. G. Pilz, Near-Rings, vol. 23, 2nd edn. North-Holland Math. Stud. (1983).
12. A. Raji, Results on 3-prime near-rings with generalized derivations, Beitr. Algebra Geom. 57, 823–829, (2016).
13. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35, 512-517, (1971).
14. X. Yuan, E. S. Lee, Fuzzy group based on fuzzy binary operation, Comput. Math. App. 47, 631-641, (2004).
15. Z. Yue, Prime L-fuzzy ideals and primary L-fu zzy ideals, Fuzzy Sets Syst. 27, 345-350, (1988).
Downloads
Published
2025-04-30
Issue
Section
Research Articles
License
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
