Semigroups with Soft AC-Ideals
Şeri̇f Özlü () and
Aslihan Sezgi̇n
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Şeri̇f Özlü: Department of Mathematics, Gaziantep University, 27300 Gaziantep, Turkey
Aslihan Sezgi̇n: Department of Mathematics and Science Education, Amasya University, 05100 Amasya, Turkey
New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 387-413
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.
Keywords: Soft sets; soft anti-covered left (right) ideals; soft anti-covered interior ideals; soft anti-covered (generalized) bi-ideals; soft anti-covered quasi ideals (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500138
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DOI: 10.1142/S1793005723500138
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