Construction of middle nuclear square loops

Authors

  • Amir Khan Department of Mathematics and Statistics, University of Swat, Swat, Pakistan.
  • Muhammad Shah Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
  • Asif Ali Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.

Keywords:

Middle nuclear square loop, construction of loop, C-loops

Abstract

Middle nuclear square loops are loops satisfying x(y(zz))=(xy)(zz)x(y(zz))=(xy)(zz) for all x,yx,y and zz. We construct an infinite family of nonassociative noncommutative middle nuclear square loops whose smallest member is of order 12.

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Published

2013-12-31

Issue

Vol. 9 No. 1 (2013): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Construction of middle nuclear square loops. (2013). Journal of Prime Research in Mathematics, 9(1), 72 – 78. https://jprm.sms.edu.pk/index.php/jprm/article/view/93