Characterizations of intra-regular Abel-Grassmann's groupoids

Article type: Research Article

Authors: Dudek, Wieslaw A. | Khan, Madad | Khan, Nasir

Affiliations: Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wroclaw, Poland | Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan

Note: [] Corresponding author. Wieslaw A. Dudek, Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wyb. Wyspianskiego 27, 50-370 Wroclaw, Poland. Fax. +48 71 320 07 51; E-mails: wieslaw.dudek@pwr.edu.pl, madadmath@yahoo.com (Madad Khan), nasirmaths@yahoo.com (Nasir Khan).

Abstract: We characterize intra-regular Abel-Grassmann's groupoids by the properties of their ideals and $(\in ,\in\!\vee q_{k})$-fuzzy ideals of various types.

Keywords: AG-groupoid, left ideal, bi-ideal, quasi-ideal, fuzzy ideal, [TeX:] $(\in ,\in\!\vee q_{k})$-fuzzy ideal

DOI: 10.3233/IFS-141251

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 6, pp. 2915-2925, 2014