Journal Menu

- About this Journal ·
- Aims and Scope ·
- Article Processing Charges ·
- Articles in Press ·
- Author Guidelines ·
- Bibliographic Information ·
- Citations to this Journal ·
- Contact Information ·
- Editorial Board ·
- Editorial Workflow ·
- Free eTOC Alerts ·
- Publication Ethics ·
- Reviewers Acknowledgment ·
- Submit a Manuscript ·
- Subscription Information ·
- Table of Contents

ISRN Algebra

Volume 2013 (2013), Article ID 935905, 10 pages

http://dx.doi.org/10.1155/2013/935905

Research Article

## On Cubic KU-Ideals of KU-Algebras

^{1}Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan^{2}Department of Mathematics, Ain Shams University, Roxy, Cairo, Egypt^{3}Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia

Received 30 August 2012; Accepted 19 October 2012

Academic Editors: K. P. Shum and A. Vourdas

Copyright © 2013 Naveed Yaqoob et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Linked References

- K. Iséki, “On BCI-algebras,”
*Mathematics Seminar Notes*, vol. 8, no. 1, pp. 125–130, 1980. View at Zentralblatt MATH - K. Iséki and S. Tanaka, “An introduction to the theory of BCK-algebras,”
*Mathematica Japonica*, vol. 23, no. 1, pp. 1–26, 1978. View at Zentralblatt MATH - K. Iséki and S. Tanaka, “Ideal theory of BCK-algebras,”
*Mathematica Japonica*, vol. 21, no. 4, pp. 351–366, 1976. View at Zentralblatt MATH - Y. Komori, “The class of BCC-algebras is not a variety,”
*Mathematica Japonica*, vol. 29, no. 3, pp. 391–394, 1984. View at Zentralblatt MATH - C. Prabpayak and U. Leerawat, “On ideals and congruences in KU-algebras,”
*Scientia Magna*, vol. 5, no. 1, pp. 54–57, 2009. - C. Prabpayak and U. Leerawat, “On isomorphisms of KU-algebras,”
*Scientia Magna*, vol. 5, no. 3, pp. 25–31, 2009. - L. A. Zadeh, “Fuzzy sets,”
*Information and Computation*, vol. 8, pp. 338–353, 1965. View at Zentralblatt MATH - S. M. Mostafa, M. A. Abd-Elnaby, and M. M. M. Yousef, “Fuzzy ideals of KU-algebras,”
*International Mathematical Forum*, vol. 6, no. 61–64, pp. 3139–3149, 2011. - S. M. Mostafa, M. A. Abd-Elnaby, and O. R. Elgendy, “Interval-valued fuzzy KU-ideals in KU-algebras,”
*International Mathematical Forum*, vol. 6, no. 61–64, pp. 3151–3159, 2011. - S. Abdullah, N. Yaqoob, B. Satyanarayana, and S. M. Qurashi, “Direct product of intuitionistic fuzzy H-ideals of BCK-algebras,”
*International Journal of Algebra and Statistics*, vol. 1, no. 1, pp. 8–16, 2012. - S. Abdullah, W. Mohammed, and M. Naeem, “Direct product of finite intuitionistic fuzzy sets in BCK-algebra,”
*International Journal of Algebra and Statistics*, vol. 1, no. 1, pp. 57–67, 2012. - Y. B. Jun, C. S. Kim, and M. S. Kang, “Cubic subalgebras and ideals of BCK/BCI-algebras,”
*Far East Journal of Mathematical Sciences*, vol. 44, no. 2, pp. 239–250, 2010. View at Zentralblatt MATH - M. Aslam, T. Aroob, and N. Yaqoob, “On cubic$\mathrm{\Gamma}$-hyperideals in left almost $\mathrm{\Gamma}$-semihypergroups,”
*Annals of Fuzzy Mathematics and Informatics*, vol. 5, no. 1, pp. 169–182, 2013. - Y. B. Jun, K. J. Lee, and M. S. Kang, “Cubic structures applied to ideals of BCI-algebras,”
*Computers & Mathematics with Applications*, vol. 62, no. 9, pp. 3334–3342, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - Y. B. Jun, C. S. Kim, and J. G. Kang, “Cubic
*q*-ideals of BCI-algebras,”*Annals of Fuzzy Mathematics and Informatics*, vol. 1, no. 1, pp. 25–34, 2011. - Y. B. Jun, S. T. Jung, and M. S. Kim, “Cubic subgroups,”
*Annals of Fuzzy Mathematics and Informatics*, vol. 2, no. 1, pp. 9–15, 2011. - Y. B. Jun, C. S. Kim, and K. O. Yang, “Cubic sets,”
*Annals of Fuzzy Mathematics and Informatics*, vol. 4, no. 1, pp. 83–98, 2012.