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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