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Pure \(\varGamma \)-ideals in \(\varGamma \)-semigroups

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Abstract

We introduce the notions of pure \(\varGamma \)-ideals, left (right) weakly pure \(\varGamma \)-ideals and purely prime \(\varGamma \)-ideals in \(\varGamma \)-semigroups. Further, we characterize right weakly regular \(\varGamma \)-semigroup in terms of bi-\(\varGamma \)-ideals, interior \(\varGamma \)-ideals and \(\varGamma \)-ideals of \(\varGamma \)-semigroups.

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Authors and Affiliations

  1. Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, 517325, India

    Ahsan Mahboob

  2. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Noor Mohammad Khan

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  1. Ahsan Mahboob
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  2. Noor Mohammad Khan
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Correspondence to Noor Mohammad Khan.

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Mahboob, A., Khan, N.M. Pure \(\varGamma \)-ideals in \(\varGamma \)-semigroups. Afr. Mat. 32, 1201–1210 (2021). https://doi.org/10.1007/s13370-021-00893-7

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  • DOI: https://doi.org/10.1007/s13370-021-00893-7

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