论文标题

岩浆价值度量的空间

Magma-valued metric spaces

论文作者

Nasehpour, Peyman

论文摘要

在第二部分中,我们介绍了密集的Unital岩浆,并在且仅当它具有较小的统一元素时,就表明近环是密集的。在第三部分中,我们讨论了岩浆价值的度量空间。有序的Unital Magmas和Monoids的密度特性有助于我们概括与序列的收敛性和Cauchy特性有关的几个经典结果。最后一节致力于岩浆值的规范组和库奇序列添加剂组的某些亚组。

In the second section, we introduce dense unital magmas and show that a near-ring is dense if and only if it has a positive element smaller that unity. In the third section, we discuss magma-valued metric spaces. The density property of the ordered unital magmas and monoids helps us to generalize a couple of classical results related to the convergence and Cauchy property of sequences. The last section is devoted to magma-valued normed groups and some subgroups of the additive group of Cauchy sequences.

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