Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup
In this paper, as a generalization of the concepts of left filters, right filters and filters of ordered semigroups, the concepts, for any positive integers m and n, of left-m-filters, right-n-filters and $ (m,n) $ -filters in ordered semigroups have been introduced and some properties of these gene...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2018.1520068 |
| Summary: | In this paper, as a generalization of the concepts of left filters, right filters and filters of ordered semigroups, the concepts, for any positive integers m and n, of left-m-filters, right-n-filters and $ (m,n) $ -filters in ordered semigroups have been introduced and some properties of these generalized notions have been investigated. Finally left-m-filters (resp. right-n-filters, $ (m,n) $ -filters) of $ (m,0) $ -regular (resp. $ (0,n) $ -regular, $ (m,n) $ -regular) ordered semigroups have been characterized in terms of its prime generalized $ (m,0) $ -ideals (resp. $ (0,n) $ -ideals, $ (m,n) $ -ideals). |
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| ISSN: | 1658-3655 |