On the Exterior Degree of a Finite-Dimensional Lie Algebra
In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/5596170 |
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| _version_ | 1832546212121673728 |
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| author | Afsaneh Shamsaki Mohsen Parvizi Ahmad Erfanian |
| author_facet | Afsaneh Shamsaki Mohsen Parvizi Ahmad Erfanian |
| author_sort | Afsaneh Shamsaki |
| collection | DOAJ |
| description | In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier. |
| format | Article |
| id | doaj-art-9fd86ed7f87648b598cc1a119d53df16 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9fd86ed7f87648b598cc1a119d53df162025-02-03T07:23:39ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/5596170On the Exterior Degree of a Finite-Dimensional Lie AlgebraAfsaneh Shamsaki0Mohsen Parvizi1Ahmad Erfanian2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.http://dx.doi.org/10.1155/2024/5596170 |
| spellingShingle | Afsaneh Shamsaki Mohsen Parvizi Ahmad Erfanian On the Exterior Degree of a Finite-Dimensional Lie Algebra Journal of Mathematics |
| title | On the Exterior Degree of a Finite-Dimensional Lie Algebra |
| title_full | On the Exterior Degree of a Finite-Dimensional Lie Algebra |
| title_fullStr | On the Exterior Degree of a Finite-Dimensional Lie Algebra |
| title_full_unstemmed | On the Exterior Degree of a Finite-Dimensional Lie Algebra |
| title_short | On the Exterior Degree of a Finite-Dimensional Lie Algebra |
| title_sort | on the exterior degree of a finite dimensional lie algebra |
| url | http://dx.doi.org/10.1155/2024/5596170 |
| work_keys_str_mv | AT afsanehshamsaki ontheexteriordegreeofafinitedimensionalliealgebra AT mohsenparvizi ontheexteriordegreeofafinitedimensionalliealgebra AT ahmaderfanian ontheexteriordegreeofafinitedimensionalliealgebra |