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arXiv · 1801.00951

Centrally Essential Group Algebras

Victor Markov·Askar Tuganbaev
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Abstract

A ring $R$ with center $C$ is said to be \textit{centrally essential} if the module $R_C$ is an essential extension of the module $C_C$. In the paper, we study groups whose group algebras over fields are centrally essential rings. We focus on the centrally essential modular group algebras of finite groups over fields of nonzero characteristic. V.T.Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A. A.A.Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.

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Victor Markov, Askar Tuganbaev. 2018-01-03. Centrally Essential Group Algebras. https://arxiv.org/abs/1801.00951

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