On varieties of flat nil-semirings

Wu, Yanjun; Zhao, Xianzhong; Ren, Miaomiao

doi:10.1007/s00233-023-10337-2

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2023

2024

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Cited by 3 publications

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“…The interesting thing in algebraic research is that the object under study has conditions that are not strong, such as the conditions that a semiring has when compared to a ring. Therefore, research related to semiring is interesting, as seen from the research carried out [1]- [5]. In addition, semiring research is also developing by combining other fields, including the fuzzy concept introduced by [6].…”

Section: Introductionmentioning

confidence: 99%

Cross Product of Ideal Fuzzy Semiring

Abdurrahman

2023

BAREKENG: J. Math. & App.

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If one of the axioms in the ring, namely the inverse axiom in the addition operation, is omitted, it will produce another algebraic structure, namely a semiring. Analogous to a ring, there are zero elements, ideal (left/right) in a semiring, and the cross product of the semiring ideal. The analog of the fuzzy semiring has zero elements, ideal (left/right), and the cross product of the semiring fuzzy ideal associated with the membership value. This paper will discuss the cross-product of two (more) fuzzy ideals from a semiring. Furthermore, the cross-product of two (more) fuzzy ideals from a semiring will always be a semiring fuzzy ideal. But the converse is not necessarily true.

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Section: Introductionmentioning

confidence: 99%