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...
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doaj-5baf1f1c22094fa997b6aa93bdffd18f2020-11-25T01:41:11ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-01131273110.1080/16583655.2018.15200681520068Left-m-filter, Right-n-filter and (m,n)-filter on Ordered SemigroupNoor Mohammad Khan0Ahsan Mahboob1Aligarh Muslim UniversityAligarh Muslim UniversityIn 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).http://dx.doi.org/10.1080/16583655.2018.1520068ordered semigroupleft-m-filterright-n-filter $ (m, n) $ -filter |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Noor Mohammad Khan Ahsan Mahboob |
spellingShingle |
Noor Mohammad Khan Ahsan Mahboob Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup Journal of Taibah University for Science ordered semigroup left-m-filter right-n-filter $ (m, n) $ -filter |
author_facet |
Noor Mohammad Khan Ahsan Mahboob |
author_sort |
Noor Mohammad Khan |
title |
Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup |
title_short |
Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup |
title_full |
Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup |
title_fullStr |
Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup |
title_full_unstemmed |
Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup |
title_sort |
left-m-filter, right-n-filter and (m,n)-filter on ordered semigroup |
publisher |
Taylor & Francis Group |
series |
Journal of Taibah University for Science |
issn |
1658-3655 |
publishDate |
2019-12-01 |
description |
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). |
topic |
ordered semigroup left-m-filter right-n-filter $ (m, n) $ -filter |
url |
http://dx.doi.org/10.1080/16583655.2018.1520068 |
work_keys_str_mv |
AT noormohammadkhan leftmfilterrightnfilterandmnfilteronorderedsemigroup AT ahsanmahboob leftmfilterrightnfilterandmnfilteronorderedsemigroup |
_version_ |
1725042105359794176 |