A soft set theoretic approach to an AG-groupoid via ideal theory with applications
Yousafzai, F., Khalaf, M. (2019). A soft set theoretic approach to an AG-groupoid via ideal theory with applications. EKB Journal Management System, 27(1), 1-18. doi: 10.1186/s42787-019-0060-7
Faisal Yousafzai; Mohammed M. Khalaf. "A soft set theoretic approach to an AG-groupoid via ideal theory with applications". EKB Journal Management System, 27, 1, 2019, 1-18. doi: 10.1186/s42787-019-0060-7
Yousafzai, F., Khalaf, M. (2019). 'A soft set theoretic approach to an AG-groupoid via ideal theory with applications', EKB Journal Management System, 27(1), pp. 1-18. doi: 10.1186/s42787-019-0060-7
Yousafzai, F., Khalaf, M. A soft set theoretic approach to an AG-groupoid via ideal theory with applications. EKB Journal Management System, 2019; 27(1): 1-18. doi: 10.1186/s42787-019-0060-7

A soft set theoretic approach to an AG-groupoid via ideal theory with applications

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-18    PDF (562.77 K)
DOI: 10.1186/s42787-019-0060-7
Authors
Faisal Yousafzai; Mohammed M. Khalaf
Higher Institute of Engineering and Technology, King Mariout, Alexandria, Egyp
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.

Keywords
Left invertive law; Soft-sets; AG-groupoid; Right regularity; Weak regularity and SI-ideals
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