2021
DOI: 10.5391/ijfis.2021.21.1.86
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On the Left and Right Almost Hyperideals of LA-Semihypergroups

Abstract: In this paper, we define left almost hyperideals, right almost hyperideals, almost hyperideals, and minimal almost hyperideals. We demonstrate that the intersection of almost hyperideals is not required to be an almost hyperideal, but the union of almost hyperideals is an almost hyperideal, which is completely different from the classical algebraic concept of the ideal theory.

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Cited by 6 publications
(5 citation statements)
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“…For example, a man with type AB blood cannot father a child with type O blood, as is evident in Table 8, because he would pass on either the A or B allele to all of his offspring [16]. The ABO blood groups cannot be used to confirm whether a man is indeed a child's father.…”
Section: Abo Blood Group the Key Geneticsmentioning
confidence: 99%
“…For example, a man with type AB blood cannot father a child with type O blood, as is evident in Table 8, because he would pass on either the A or B allele to all of his offspring [16]. The ABO blood groups cannot be used to confirm whether a man is indeed a child's father.…”
Section: Abo Blood Group the Key Geneticsmentioning
confidence: 99%
“…al [3] studied the almost bi-quasi-interior ideal and fuzzy almost bi-quasi-interior ideal in semigroups. Moreover, related research to various types of almost ideals has been studied in other algebraic structures (see, e.g., [9,11,12,[14][15][16][17]). Recently N. Sarasit et al [13] studied almost ternary subsemirings.…”
Section: Introductionmentioning
confidence: 99%
“…Research on various types of almost ideals and fuzzy almost ideals has also been conducted in specialized areas such as Γ -semigroups [7,18,19], ordered semigroups [20,23], ternary semigroups [22], semihypergroups [6,13,15,21,24], and LA-semihypergroups [14], including studies on bipolar fuzzy sets [9,10].…”
Section: Introductionmentioning
confidence: 99%