By Mohsen Amiri and Mostafa Amini

Let $R$ be a finite unitary ring such that $R=R_0[R^*]$ where $R_0$ is the prime ring and $R^*$ is not a nilpotent group. We show that if all proper subgroups of $R^*$ are nilpotent groups, then the cardinal of $R$ is a power of prime number 2. In addition, if... Show more

January 14, 2020

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Finite unitary ring with minimal non-nilpotent group of units

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