Flows on Classes of Regular Semigroups and Cauchy Categories
We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauc...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/8027391 |
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| _version_ | 1832556932313907200 |
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| author | Suha Ahmed Wazzan |
| author_facet | Suha Ahmed Wazzan |
| author_sort | Suha Ahmed Wazzan |
| collection | DOAJ |
| description | We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauchy categories for some classes of regular semigroups such as completely simple semigroups, Brandt semigroups, and rectangular bands. In fact, we obtain a general structure for the flow monoids on Cauchy categories. |
| format | Article |
| id | doaj-art-06bbb9071a194898b5cbe45366e056ae |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-06bbb9071a194898b5cbe45366e056ae2025-02-03T05:43:57ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/80273918027391Flows on Classes of Regular Semigroups and Cauchy CategoriesSuha Ahmed Wazzan0Department of Mathematics, Science Faculty, King Abdulaziz University, Girls Campus, 21589 Jeddah, Saudi ArabiaWe consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauchy categories for some classes of regular semigroups such as completely simple semigroups, Brandt semigroups, and rectangular bands. In fact, we obtain a general structure for the flow monoids on Cauchy categories.http://dx.doi.org/10.1155/2019/8027391 |
| spellingShingle | Suha Ahmed Wazzan Flows on Classes of Regular Semigroups and Cauchy Categories Journal of Mathematics |
| title | Flows on Classes of Regular Semigroups and Cauchy Categories |
| title_full | Flows on Classes of Regular Semigroups and Cauchy Categories |
| title_fullStr | Flows on Classes of Regular Semigroups and Cauchy Categories |
| title_full_unstemmed | Flows on Classes of Regular Semigroups and Cauchy Categories |
| title_short | Flows on Classes of Regular Semigroups and Cauchy Categories |
| title_sort | flows on classes of regular semigroups and cauchy categories |
| url | http://dx.doi.org/10.1155/2019/8027391 |
| work_keys_str_mv | AT suhaahmedwazzan flowsonclassesofregularsemigroupsandcauchycategories |