Higher Institute of Engineering and Technology, King Mariout, Alexandria, Egyp
https://doi.org/10.1186/s42787-019-0060-7
Abstract
In this paper, we study the structural properties of a non-associative algebraic structure called an AG-groupoid by using soft set theory. We characterize a right regular class of an AG-groupoid in terms of soft intersection ideals and provide counter examples to discuss the converse part of various problems. We also characterize a weakly regular class of an AG***-groupoid by using generated ideals and soft intersection ideals. We investigate the relationship between SI-left-ideal, SI-right-ideal, SI-two-sided-ideal, and SI-interior-ideal of an AG-groupoid over a universe set by providing some practical examples.
Yousafzai, F., & Khalaf, M. (2019). A soft set theoretic approach to an AG-groupoid via ideal theory with applications. Journal of the Egyptian Mathematical Society, 27(1), 1-18. doi: https://doi.org/10.1186/s42787-019-0060-7
MLA
Faisal Yousafzai; Mohammed M. Khalaf. "A soft set theoretic approach to an AG-groupoid via ideal theory with applications", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-18. doi: https://doi.org/10.1186/s42787-019-0060-7
HARVARD
Yousafzai, F., Khalaf, M. (2019). 'A soft set theoretic approach to an AG-groupoid via ideal theory with applications', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-18. doi: https://doi.org/10.1186/s42787-019-0060-7
VANCOUVER
Yousafzai, F., Khalaf, M. A soft set theoretic approach to an AG-groupoid via ideal theory with applications. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-18. doi: https://doi.org/10.1186/s42787-019-0060-7