论文标题
在M Quasi-Ideals上，有序分数
On m-quasi-ideals in m-regular ordered semigroups
论文作者
论文摘要
在本文中，我们表征了左（右）理想，双层理想和准理想的索引$ m $，并在这些理想之间提供一些重要的相互作用。已经引入了有序的半群的M型概念。此外，m量度有序的半群的特征是它们的m-quasi ideals，事实是，对于任何M量有序的semigroups $ a $，set $ q_ q_ {a} $ a $ a $ a $ a $ a $的$ q_ {a} $，其乘以乘以：$ q_ {1} {1} \ circ q_ $ q_ $ Q_ $} $ {2} Q {2} Q {2} Q {2} =（Q） $ q_ {1}，q_ {2} \在q_ {a} $中，在此处获得了m-regular semogroup。
In this paper we characterize left(right) ideals, bi-ideals and quasi-ideals of an ordered semigroup by an index $m$ and give some important interplays between these ideals. The concept of m-regularity of an ordered semigroups has been introduced. Moreover m-regular ordered semigroups are characterized by their m-quasi-ideals and the fact that for any m-regular ordered semigroups $A$, the set $Q_{A}$ of all m-quasi-ideals of $A$, with multiplication defined by: $Q_{1}\circ Q_{2}=(Q_{1}Q_{2}]$, for all $Q_{1},Q_{2}\in Q_{A}$, is a m-regular semigroup is obtained here.
