Construction of right nuclear square loop

Amir Khan (), Tahir Khan, Hidayat Ullah Khan and Gul Zaman
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Amir Khan: Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan
Tahir Khan: Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan
Hidayat Ullah Khan: Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan
Gul Zaman: Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan

Matrix Science Mathematic (MSMK), 2017, vol. 1, issue 2, 1-3

Abstract: Right nuclear square loops are loops satisfying y zz))==(xy)(zz). We construct an infinite family of non-associative non-commutative right nuclear square loops whose smallest member is of order 12.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:1:y:2017:i:2:p:1-3

DOI: 10.26480/msmk.02.2017.01.03

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