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Generalized ideals in ordered left almost semigroups

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Abstract

In this paper, we introduce the concept of (m, n)-ideals in a non-associative ordered structure called an ordered \(\mathcal {LA}\)-semigroup. We also study the (m, n)-regular class of an ordered \(\mathcal {LA}\)-semigroup in terms of (m, n)-ideals.

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Acknowledgments

The first author is highly thankful to CAS-TWAS President’s Fellowship.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China (USTC), Hefei, China

    Venus Amjid & Quaid Iqbal

  2. Military College of Engineering, National University of Sciences and Technology (NUST), Islamabad, Pakistan

    Faisal Yousafzai

Authors
  1. Venus Amjid
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  2. Faisal Yousafzai
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  3. Quaid Iqbal
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Correspondence to Faisal Yousafzai.

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Amjid, V., Yousafzai, F. & Iqbal, Q. Generalized ideals in ordered left almost semigroups. Afr. Mat. 28, 605–614 (2017). https://doi.org/10.1007/s13370-016-0470-8

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  • DOI: https://doi.org/10.1007/s13370-016-0470-8

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