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Semigroups with Soft AC-Ideals

Author

Listed:
  • Åžeri̇f Özlü

    (Department of Mathematics, Gaziantep University, 27300 Gaziantep, Turkey)

  • Aslihan Sezgi̇n

    (Department of Mathematics and Science Education, Amasya University, 05100 Amasya, Turkey)

Abstract

In this paper, we define the concepts of soft anti-covered semigroup, soft anti-covered left (right) ideal, soft anti-covered interior ideal, soft anti-covered (generalized) bi-ideal, soft anti-covered quasi-ideal of a semigroup. We investigate their properties by various examples. Moreover, we focus on the interrelations of them. We construct a new approach to anti-covered ideals of a semigroup via soft set theory.

Suggested Citation

  • Åžeri̇f Özlü & Aslihan Sezgi̇n, 2023. "Semigroups with Soft AC-Ideals," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 387-413, July.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500138
    DOI: 10.1142/S1793005723500138
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