右模广群的$(\in, \in \vee q_{k})$ -模糊理想刻画
Characterizations of right modular groupoids by $(\in, \in \vee q_{k})$-fuzzy ideals
摘要：
本文在右模广群中引入了$\left( \in ,\in \vee q\right) $ -模糊理想的概念。利用$\left( \in ,\in \vee q\right) $ -模糊左（右，双边）理想，$\left( \in ,\in \vee q\right) $ -模糊（广义）双理想和$\left( \in ,\in \vee q\right) $-模糊$(1,2)$ -理想讨论了完全正则右模广群的几个重要特征.我们还在完全正则右模广群中引入了$\left( \in ,\in \vee q_{k}\right) $ -模糊左（右，双侧）理想、$\left( \in ,\in \vee q_{k}\right) $-模糊拟理想、$\left( \in ,\in \vee q_{k}\right) $ -模糊双理想和$% \left( \in ,\in \vee q_{k}\right) $ -模糊内理想的概念，并证明了在完全正则右模广群中，$\left( \in ,\in \vee q_{k}\right) $ -模糊左（右，双侧）、$\left( \in ,\in \vee q_{k}\right) $ -模糊（广义）双理想和$\left( \in ,\in \vee q_{k}\right) $ -模糊内理想重合.
英文摘要：
In this paper, we have introduced the concept of $\left( \in ,\in \vee q\right) $-fuzzy ideals in a right modular groupoid. We have discussed several important features of a completely regular right modular groupoid by using the $\left( \in ,\in \vee q\right) $-fuzzy left (right, two-sided) ideals, $\left( \in ,\in \vee q\right) $-fuzzy (generalized) bi-ideals and $\left( \in ,\in \vee q\right) $-fuzzy $(1,2)$-ideals. We have also used the concept of $\left( \in ,\in \vee q_{k}\right) $-fuzzy left (right, two-sided) ideals, $\left( \in ,\in \vee q_{k}\right) $-fuzzy quasi-ideals $\left( \in ,\in \vee q_{k}\right) $-fuzzy bi-ideals and $% \left( \in ,\in \vee q_{k}\right) $-fuzzy interior ideals in completely regular right modular groupoid and proved that the $\left( \in ,\in \vee q_{k}\right) $-fuzzy left (right, two-sided), $\left( \in ,\in \vee q_{k}\right) $-fuzzy (generalized) bi-ideals, and $\left( \in ,\in \vee q_{k}\right) $-fuzzy interior ideals coincide in a completely regular right modular groupoid.
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