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arxiv: 1801.00653 · v1 · pith:YCYJOL3Qnew · submitted 2018-01-02 · 🧮 math.RA

Rings which are Essential over their Centers, II

classification 🧮 math.RA
keywords essentialcentrallyringsfoundationmoduleprojectrussiansupported
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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 $C_C$. We describe centrally essential exterior algebras of finitely generated free modules over not necessary commutative rings and study properties of semi-Artinian centrally essential rings. 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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