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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2302.02732 |
| Etiquetas: |
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| _version_ | 1866908603204501504 |
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| author | Saeedi, Farshid Akbarossadat, Seyedeh Nafiseh |
| author_facet | Saeedi, Farshid Akbarossadat, Seyedeh Nafiseh |
| contents | In this paper, we first recall the concept of c-nilpotent multiplier and c-capability of n-Lie algebras and also, recall the formula for calculating the number of basic commutators in n-Lie algebras. Then we give the structure of 2-nilpotent multiplier of the direct sum of two n-Lie algebras. Next, we calculate the dimension of 2-nilpotent multiplier of every abelian n-Lie algebras and Heisenberg n-Lie algebras H(n,m). Then we give a dimension of 2-nilpotent multiplier of any nilpotent n-Lie algebras of class 2 by using the number of basic commutators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02732 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The 2-nilpotent multiplier of n-Lie algebras and its applications Saeedi, Farshid Akbarossadat, Seyedeh Nafiseh Rings and Algebras In this paper, we first recall the concept of c-nilpotent multiplier and c-capability of n-Lie algebras and also, recall the formula for calculating the number of basic commutators in n-Lie algebras. Then we give the structure of 2-nilpotent multiplier of the direct sum of two n-Lie algebras. Next, we calculate the dimension of 2-nilpotent multiplier of every abelian n-Lie algebras and Heisenberg n-Lie algebras H(n,m). Then we give a dimension of 2-nilpotent multiplier of any nilpotent n-Lie algebras of class 2 by using the number of basic commutators. |
| title | The 2-nilpotent multiplier of n-Lie algebras and its applications |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2302.02732 |