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On Left Alternative Loops

Author

Listed:
  • Amir Khan

    (Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan.)

  • Mehtab Khan

    (School of Natural Sciences, National University of Sciences and Technology, H-12 Islamabad, Pakistan.)

  • Hidayat Ullah Khan

    (Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan.)

  • Gul Zaman

    (Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan.)

Abstract

Left alternative loops are loops satisfying (xy)=(xx)y. We construct an infinite family of non-associative non-commutative left alternative loops whose smallest member is of order

Suggested Citation

  • Amir Khan & Mehtab Khan & Hidayat Ullah Khan & Gul Zaman, 2017. "On Left Alternative Loops ," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(2), pages 4-5, November.
    • Handle: RePEc:zib:zbmsmk:v:1:y:2017:i:2:p:4-5
    DOI: 10.26480/msmk.02.2017.04.05
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    References listed on IDEAS

    as
    1. M. De la Sen, 2011. "Positivity and Stability of the Solutions of Caputo Fractional Linear Time-Invariant Systems of Any Order with Internal Point Delays," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-25, March.
    2. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Sajad Ali Khan & Kamal Shah & Rahmat Ali Khan, 2017. "On Coupled System Of Nonlinear Hybrid Differential Equation With Arbitrary Order," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(2), pages 11-16, November.
    Full references (including those not matched with items on IDEAS)

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