1
Doctoral School of Mathematical and Computational Sciences, University of Debrecen, Pf. 400, Debrecen, H-4002, Hungary
2
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11341, Egypt
https://doi.org/10.1186/s42787-019-0056-3
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.
Zakaria, A., John, S., & Girish, K. (2019). Multiset filters. Journal of the Egyptian Mathematical Society, 27(1), 1-12. doi: https://doi.org/10.1186/s42787-019-0056-3
MLA
Amr Zakaria; Sunil Jacob John; K. P. Girish. "Multiset filters", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-12. doi: https://doi.org/10.1186/s42787-019-0056-3
HARVARD
Zakaria, A., John, S., Girish, K. (2019). 'Multiset filters', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-12. doi: https://doi.org/10.1186/s42787-019-0056-3
VANCOUVER
Zakaria, A., John, S., Girish, K. Multiset filters. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-12. doi: https://doi.org/10.1186/s42787-019-0056-3
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