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Centrally Essential Rings

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This paper is a review of recent results on centrally essential rings.

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Notes

  1. All ring-theoretical notions, required in Sections 1–5, can be found in the book [7].

  2. It is well known that every finite \(p\)-group is nilpotent.

  3. By 4.1, there exist non-commutative uniserial Artinian centrally essential rings; consequently, there exist non-commutative uniserial Notherian centrally essential rings.

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Authors and Affiliations

  1. Moscow Power Engineering Institute (MPEI), 111250, Moscow, Russia

    A. A. Tuganbaev

  2. Lomonosov Moscow State University, 119991, Moscow, Russia

    A. A. Tuganbaev

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  1. A. A. Tuganbaev
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Correspondence to A. A. Tuganbaev.

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Tuganbaev, A.A. Centrally Essential Rings. Lobachevskii J Math 41, 280–288 (2020). https://doi.org/10.1134/S1995080220020171

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