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pro vyhledávání: '"Manju, Praveen"'
Autor:
Manju, Praveen, Sharma, Rajendra Kumar
In this article, we study twisted derivations of cyclic group rings. Let $R$ be a commutative ring with unity, $G$ be a finite cyclic group, and ($\sigma, \tau$) be a pair of $R$-algebra endomorphisms of the group algebra $RG$, which are $R$-linear e
Externí odkaz:
http://arxiv.org/abs/2410.16279
Autor:
Manju, Praveen, Sharma, Rajendra Kumar
Let $\mathbb{F}$ be a field of characteristic $0$ or an odd rational prime $p$. In this article, we give an explicit classification of all the inner and outer derivations of the group algebra $\mathbb{F}V_{8n}$, where $V_{8n}$ is a group of order $8n
Externí odkaz:
http://arxiv.org/abs/2410.03467
Autor:
Manju, Praveen, Sharma, Rajendra Kumar
In this article, we study the derivations of group algebras of some important groups, namely, dihedral ($D_{2n}$), Dicyclic ($T_{4n}$) and Semi-dihedral ($SD_{8n}$). First, we explicitly classify all inner derivations of a group algebra $\mathbb{F}G$
Externí odkaz:
http://arxiv.org/abs/2312.12215
Autor:
Manju, Praveen, Sharma, Rajendra Kumar
Leo Creedon and Kieran Hughes in [18] studied derivations of a group ring $RG$ (of a group $G$ over a commutative unital ring $R$) in terms of generators and relators of group $G$. In this article, we do that for $(\sigma, \tau)$-derivations. We deve
Externí odkaz:
http://arxiv.org/abs/2303.04372
Autor:
Manju, Praveen1 (AUTHOR) praveenmanjuiitd@gmail.com, Sharma, Rajendra Kumar1,2 (AUTHOR) rksharmaiitd@gmail.com
Publikováno v:
Journal of Algebra & Its Applications. Oct2024, p1. 29p.
Autor:
Manju, Praveen
In this article, a classification of all the $(\sigma, \tau)$-derivations of group algebras is given in terms of the generators and relators of a group. If $R$ is a commutative ring and $G = \langle X \mid Y\rangle$ is a group with $X$ as its set of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_______::fe4c9a9f0ed8c9e0436ef15a3fe6223f
http://arxiv.org/abs/2303.04372
http://arxiv.org/abs/2303.04372
Autor:
Manju, Praveen
In this article, a classification of all the $(σ, τ)$-derivations of group algebras is given in terms of the generators and relators of a group. If $R$ is a commutative ring and $G = \langle X \mid Y\rangle$ is a group with $X$ as its set of genera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc8ddb034d9e9c958477fd0d995b5ba0