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- W2888933055 abstract "An ordered AG-groupoid can be referred to as an ordered left almost semigroup, as the main difference between an ordered semigroup and an ordered AG-groupoid is the switching of an associative law. In this paper, we define the smallest one-sided ideals in an ordered AG-groupoid and use them to characterize a strongly regular class of a unitary ordered AG-groupoid along with its semilattices and fuzzy one-sided ideals. We also introduce the concept of an ordered<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi mathvariant=normal>A</mml:mi><mml:msup><mml:mrow><mml:mi mathvariant=normal>G</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo><mml:mo>⁎</mml:mo><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math>-groupoid and investigate its structural properties by using the generated ideals and fuzzy one-sided ideals. These concepts will verify the existing characterizations and will help in achieving more generalized results in future works." @default.
- W2888933055 created "2018-09-07" @default.
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- W2888933055 date "2018-09-02" @default.
- W2888933055 modified "2023-09-27" @default.
- W2888933055 title "A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals" @default.
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- W2888933055 doi "https://doi.org/10.1155/2018/8464295" @default.
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