Cubic Weak Bi-Ideals of ɼ-Near Rings

Authors

  • V. Chinnadurai Associate Professor, Department of Mathematics, Annamalai University, Annamalainagar, Tamilnadu, India
  • A. Swaminathan Associate Professor, Department of Mathematics, Aksheyaa College of Engineering, Tamilnadu, India
  • K. Bharathivelan Research Scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamilnadu, India

DOI:

https://doi.org/10.53555/mce.v3i5.382

Keywords:

Near-rings, Γ-near-rings, weak bi-ideals, fuzzy weak bi-ideals, cubic weak bi-ideals,, homomorphisam of cubic weak bi-ideals.

Abstract

In this paper, we introduced the new notion of cubic weak biideals of Γ-near-rings, which is the generalized concept of cubic weak bi-ideals of near-rings. We also investigated some of its properties with examples.

Downloads

Download data is not yet available.

References

S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Systems,44, 139–146,(1991).

V. Chinnadurai, Fuzzy ideals in algebric structures, Lap Lamber Acedemic Publishing, 2013.

V. Chinnadurai and K. Bharathivelen, Cubic weak bi-ideals of near-rings, Palestine Journalof Mathematics, Accepted. 14V. CHINNADURAI, A. SWAMINATHAN, AND K. BHARATHIVELAN

V. Chinnadurai and S. Kadalarasi, Fuzzy weak bi-ideals of near-rings, Annals of Fuzzy Math-ematics and Informatics, 2015.

S. D. Kim and H. S. Kim, On fuzzy ideals of near-rings, Bulletin Korea MathematicalSociety,33, 593–601, (1996).

K. H. Kim and Y. B. Jun, On fuzzy R-subgroups of near-rings, Journal of Fuzzy Mathematics,83, 549–558, 2008.

T. Manikantan, Fuzzy bi-ideals of near-rings, Journal of Fuzzy Mathematics,17(3), 659–671,(2009).

Y. B. Jun, C. S. Kim and M. S. Kang, Cubic subalgebras and ideals of BCK/BCI- algebras,Far East. J. Math. Sci.44, 239–250, (2010).

Y. B. Jun, C. S. Kim and J. G. Kang, Cubic q-ideals of BCI-algebras, Ann. Fuzzy Math.Inform.1, 25–34, (2011).

Y. B. Jun, S. T. Jung and M. S. Kim, Cubic subgroups, Ann. Fuzzy Math. Inform.2(1),83–98, (2012).

Y. B. Jun, K. J. Lee and M. S. Kang, Cubic structures applied to ideals of BCI- algebras,Comput. Math. Appl.62, 3334–3342, (2011).

Y. B. Jun and Asghar Khan, Cubic ideals of semigroups, Honam Mathematical J.35(4),607–623, (2013).

K. H. Kim , Y. B. Jun and Y. H. Yon, On anti fuzzy ideals in near-rings, Iranian Journal ofFuzzy Systems,2, 71–80, (2005).

G. Pilz, Near-rings, The theory and applications, North-Holland publishing company, Ame-serdam 1983.

Bh. Satyanarayana, Contributions to near-ring theory, Ph.D., Thesis, Acharya Nagarjuna University, (1984).

T. Srinivas, T. Nagaiag and P. Narasimha Swamy, Anti fuzzy ideals of Γ-near-rings, Annalsof Fuzzy Mathematics and Informatics,3(2), 255–266, (2012).

T. Tamizh chelvam and N. Ganesan, On bi-ideals of near-rings, Indian Jour. Pure and App.Math.

, 1002–1005, (1987).

T. Tamizh chelvam and N. Meenakumari, Bi-ideals of Γ-near-rings, Southeast Bulletion of Mathematics, 27, 983–998, (2004).

N. Thillaigovindan, V. Chinnadurai and S. Kadalarasi, Interval valued fuzzy ideals of near-rings, Journal of Fuzzy Mathematics,23(2), 471–483, (2015).

Yong Uk Cho, T. Tamizh chelvam and S. Jayalakshmi, Weak bi-ideals of near-rings, Jour.Pure and Appli. Math.14(3), 153–159, (2007).

L. A. Zadeh, Fuzzy sets, Inform and Control,8, 338–353, (1965).

L. A. Zadeh, The concept of a linguistic variable and its application to approxi matereasoning-I, Inform. Sci.,8, 199–249, (1975).

Downloads

Published

2017-05-31

How to Cite

Chinnadurai, V., Swaminathan, A., & Bharathivelan, K. (2017). Cubic Weak Bi-Ideals of ɼ-Near Rings. International Journal For Research In Mechanical & Civil Engineering, 3(5), 01–14. https://doi.org/10.53555/mce.v3i5.382