Jordan Nilpotent Group Rings of index $4$
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915700691435520 |
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| author | Sahai, Meena Singh, Sachin |
| author_facet | Sahai, Meena Singh, Sachin |
| contents | Let $RG$ be the group ring of an arbitrary group $G$ over an associative non-commutative ring $R$ with identity. In this paper, we have obtained the necessary and sufficient conditions under which $RG$ is Jordan nilpotent of index $4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24033 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jordan Nilpotent Group Rings of index $4$ Sahai, Meena Singh, Sachin Rings and Algebras 16S34, 17B30 Let $RG$ be the group ring of an arbitrary group $G$ over an associative non-commutative ring $R$ with identity. In this paper, we have obtained the necessary and sufficient conditions under which $RG$ is Jordan nilpotent of index $4$. |
| title | Jordan Nilpotent Group Rings of index $4$ |
| topic | Rings and Algebras 16S34, 17B30 |
| url | https://arxiv.org/abs/2512.24033 |