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Multiset filters
Journal of the Egyptian Mathematical Society Pub Date : 2019-12-01 , DOI: 10.1186/s42787-019-0056-3
Amr Zakaria , Sunil Jacob John , K. P. Girish

A multiset is a collection of objects in which repetition of elements is essential. This paper is an attempt to generalize the notion of filters in the multiset context. In addition, many deviations between multiset filters and ordinary filters have been presented. The relation between multiset filter and multiset ideal has been mentioned. Many properties of multiset filters, multiset ultrafilters, and convergence of multiset filters have been introduced. Also, the notions of basis and subbasis have been mentioned in the multiset context. Finally, several examples have been studied.

中文翻译:

多组过滤器

多重集是对象的集合,其中元素的重复是必不可少的。本文试图在多集上下文中概括过滤器的概念。此外,还提出了多组过滤器和普通过滤器之间的许多偏差。已经提到了多重集滤波器和多重集理想之间的关系。已经介绍了多重集过滤器、多重集超过滤器和多重集过滤器的收敛的许多特性。此外,在多集上下文中也提到了基和子基的概念。最后,研究了几个例子。
更新日期:2019-12-01
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