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Characterizations of hemirings in terms of cubic \(h\)-ideals

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Abstract

Some operational properties of cubic sets are first investigated. The notion of cubic \(h\)-ideals, cubic \(h\)-bi-ideals and cubic \(h\)-quasi-ideals are introduced and several properties are provided. The characterizations of \(h\)-hemiregular hemirings, \(h\)-intra-hemiregular hemirings and of both \(h\)-hemiregular and \(h\)-intra-hemiregular hemirings are studied.

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Acknowledgments

We would like to express our sincere thanks to the anonymous referees, for their valuable comments and suggestions, which helped to improve the presentation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan

    Asghar Khan & Majid Ali

  2. Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, 660-701, Korea

    Young Bae Jun

  3. Department of Mathematics, Islamia College University, Peshawar, KPK, Pakistan

    Syed Inayat Ali Shah

Authors
  1. Asghar Khan
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  2. Young Bae Jun
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  3. Syed Inayat Ali Shah
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  4. Majid Ali
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Correspondence to Asghar Khan.

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Communicated by V. Loia.

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Khan, A., Jun, Y.B., Shah, S.I.A. et al. Characterizations of hemirings in terms of cubic \(h\)-ideals. Soft Comput 19, 2133–2147 (2015). https://doi.org/10.1007/s00500-014-1396-4

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