科研之友
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摘要
<jats:p>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.</jats:p>
- 出版日期2018-9-2
- 单位中国科学技术大学
