Ehresmann Semigroups from a Range Restriction Viewpoint
The first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. By this connection, we can redefine any Ehresmann semigroups by two unary operations and eight axioms. This connection leads us to a generalization of Ehr...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5212843 |
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| author | Wadii Hajji |
| author_facet | Wadii Hajji |
| author_sort | Wadii Hajji |
| collection | DOAJ |
| description | The first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. By this connection, we can redefine any Ehresmann semigroups by two unary operations and eight axioms. This connection leads us to a generalization of Ehresmann’s theorem for a range prerestriction categories; as special cases, we obtain Ehresmann’s theorems for range restriction categories and for inverse categories. |
| format | Article |
| id | doaj-art-336bff42867347a2896f4cef71ed1340 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-336bff42867347a2896f4cef71ed13402025-02-03T01:28:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/52128435212843Ehresmann Semigroups from a Range Restriction ViewpointWadii Hajji0Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Dhahran 34754, Saudi ArabiaThe first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. By this connection, we can redefine any Ehresmann semigroups by two unary operations and eight axioms. This connection leads us to a generalization of Ehresmann’s theorem for a range prerestriction categories; as special cases, we obtain Ehresmann’s theorems for range restriction categories and for inverse categories.http://dx.doi.org/10.1155/2021/5212843 |
| spellingShingle | Wadii Hajji Ehresmann Semigroups from a Range Restriction Viewpoint Journal of Mathematics |
| title | Ehresmann Semigroups from a Range Restriction Viewpoint |
| title_full | Ehresmann Semigroups from a Range Restriction Viewpoint |
| title_fullStr | Ehresmann Semigroups from a Range Restriction Viewpoint |
| title_full_unstemmed | Ehresmann Semigroups from a Range Restriction Viewpoint |
| title_short | Ehresmann Semigroups from a Range Restriction Viewpoint |
| title_sort | ehresmann semigroups from a range restriction viewpoint |
| url | http://dx.doi.org/10.1155/2021/5212843 |
| work_keys_str_mv | AT wadiihajji ehresmannsemigroupsfromarangerestrictionviewpoint |