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Construction of middle nuclear square loops

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Title: Construction of middle nuclear square loops

Authors: Amir Khan, Muhammad Shah, Asif Ali

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2013

Volume: 1

Issue: 1

Language: English

Keywords: middle nuclear square loops

Categories
Universal Algebra (10) Loops (2) Abstract Algebra (137) Algebra (130) Mathematics (5170)

Abstract

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

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