满射、域与H-交换半群
Epimorphisms, dominions and H-commutative semigroups
摘要:
本文给出了H-交换半群的结构特征的一系列结果和例子。通过证明H-交换半群的支配域是H-交换的,我们将Isbell的一个结果从交换半群推广到H-交换半群。然后,我们用这个推广豪伊和Isbell的结果,任何H-交换半群满足主理想的最小条件是饱和的。
英文摘要:
In the present paper, a series of results and examples that explore the structural features of H-commutative semigroups are provided. We also generalise a result of Isbell from commutative semigroups to H-commutative semigroups by showing that the dominion of an H-commutative semigroup is H-commutative. We then use this to generalise Howie and Isbell's result that any H-commutative semigroup satisfying the minimum condition on principal ideals is saturated.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。