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Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras

Author

Listed:
  • Hashem Bordbar

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

  • Rajab Ali Borzooei

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

  • Young Bae Jun

    (#x2020;Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

Abstract

The notions of uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras are introduced, and related properties are investigated. Conditions for a uni-soft ideal to be closed are provided. Relations between a uni-soft ideal and a uni-soft commutative ideal are investigated. Conditions for a uni-soft ideal to be a uni-soft commutative ideal are provided. A new uni-soft commutative ideal from an old one is constructed.

Suggested Citation

  • Hashem Bordbar & Rajab Ali Borzooei & Young Bae Jun, 2018. "Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 235-247, July.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:02:n:s1793005718500151
    DOI: 10.1142/S1793005718500151
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