Zakaria, A., John, S., Girish, K. (2019). Multiset filters. test, 27(1), 1-12. doi: 10.1186/s42787-019-0056-3
Amr Zakaria; Sunil Jacob John; K. P. Girish. "Multiset filters". test, 27, 1, 2019, 1-12. doi: 10.1186/s42787-019-0056-3
Zakaria, A., John, S., Girish, K. (2019). 'Multiset filters', test, 27(1), pp. 1-12. doi: 10.1186/s42787-019-0056-3
Zakaria, A., John, S., Girish, K. Multiset filters. test, 2019; 27(1): 1-12. doi: 10.1186/s42787-019-0056-3

Multiset filters

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-12    PDF (555.7 K)
DOI: 10.1186/s42787-019-0056-3
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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