About derivations on G-algebras
This paper presents several results from the study of certain properties of G-algebras. More precisely, we will show that, if N is a normal subset of a finite G-algebra X, then the order of N divides the order of X. In addition, we will give an important result about the set of derivations on a fini...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2020-01-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2019.1696267 |
| _version_ | 1818332501081325568 |
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| author | Wahiba Messirdi Ahlam Fallatah |
| author_facet | Wahiba Messirdi Ahlam Fallatah |
| author_sort | Wahiba Messirdi |
| collection | DOAJ |
| description | This paper presents several results from the study of certain properties of G-algebras. More precisely, we will show that, if N is a normal subset of a finite G-algebra X, then the order of N divides the order of X. In addition, we will give an important result about the set of derivations on a finite G-algebra X, and give a condition on this set to determine the commutativity and the associativity of X. |
| first_indexed | 2024-12-13T13:36:44Z |
| format | Article |
| id | doaj.art-bfb99e7b402d40bd931ab842bef56bdf |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-13T13:36:44Z |
| publishDate | 2020-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-bfb99e7b402d40bd931ab842bef56bdf2022-12-21T23:43:45ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552020-01-011411510.1080/16583655.2019.16962671696267About derivations on G-algebrasWahiba Messirdi0Ahlam Fallatah1College of Science, Department of Mathematics, Taibah UniversityCollege of Science, Department of Mathematics, Taibah UniversityThis paper presents several results from the study of certain properties of G-algebras. More precisely, we will show that, if N is a normal subset of a finite G-algebra X, then the order of N divides the order of X. In addition, we will give an important result about the set of derivations on a finite G-algebra X, and give a condition on this set to determine the commutativity and the associativity of X.http://dx.doi.org/10.1080/16583655.2019.1696267g-algebrasnormal subsetsderivations on g-algebra |
| spellingShingle | Wahiba Messirdi Ahlam Fallatah About derivations on G-algebras Journal of Taibah University for Science g-algebras normal subsets derivations on g-algebra |
| title | About derivations on G-algebras |
| title_full | About derivations on G-algebras |
| title_fullStr | About derivations on G-algebras |
| title_full_unstemmed | About derivations on G-algebras |
| title_short | About derivations on G-algebras |
| title_sort | about derivations on g algebras |
| topic | g-algebras normal subsets derivations on g-algebra |
| url | http://dx.doi.org/10.1080/16583655.2019.1696267 |
| work_keys_str_mv | AT wahibamessirdi aboutderivationsongalgebras AT ahlamfallatah aboutderivationsongalgebras |