Multiset filters | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 27, Issue 1, 2019, Page 1-12 PDF (555.7 K) | ||||
DOI: 10.1186/s42787-019-0056-3 | ||||
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Authors | ||||
Amr Zakaria1, 2; Sunil Jacob John; K. P. Girish | ||||
1Doctoral School of Mathematical and Computational Sciences, University of Debrecen, Pf. 400, Debrecen, H-4002, Hungary | ||||
2Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11341, Egypt | ||||
Abstract | ||||
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. | ||||
Keywords | ||||
Multiset; Multiset filter; Multiset ultrafilter; Multiset topology | ||||
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