On Pure Hyperradical in Semihypergroups
This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyp...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/876919 |
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| _version_ | 1832566862514225152 |
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| author | Kostaq Hila Krisanthi Naka |
| author_facet | Kostaq Hila Krisanthi Naka |
| author_sort | Kostaq Hila |
| collection | DOAJ |
| description | This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties in semihypergroups. |
| format | Article |
| id | doaj-art-e9f3c60842cb40b490cce5113be14985 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e9f3c60842cb40b490cce5113be149852025-02-03T01:03:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/876919876919On Pure Hyperradical in SemihypergroupsKostaq Hila0Krisanthi Naka1Department of Mathematics & Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, AlbaniaDepartment of Mathematics & Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, AlbaniaThis paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties in semihypergroups.http://dx.doi.org/10.1155/2012/876919 |
| spellingShingle | Kostaq Hila Krisanthi Naka On Pure Hyperradical in Semihypergroups International Journal of Mathematics and Mathematical Sciences |
| title | On Pure Hyperradical in Semihypergroups |
| title_full | On Pure Hyperradical in Semihypergroups |
| title_fullStr | On Pure Hyperradical in Semihypergroups |
| title_full_unstemmed | On Pure Hyperradical in Semihypergroups |
| title_short | On Pure Hyperradical in Semihypergroups |
| title_sort | on pure hyperradical in semihypergroups |
| url | http://dx.doi.org/10.1155/2012/876919 |
| work_keys_str_mv | AT kostaqhila onpurehyperradicalinsemihypergroups AT krisanthinaka onpurehyperradicalinsemihypergroups |