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Одно замечание о периодических кольцах

A Note on Periodic Rings

2021
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Vladikavkaz mathematical journal
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A Note on Periodic Rings

We obtain a new and non-trivial characterization of periodic rings (that are those rings $R$ for which, for each element $x$ in $R$, there exists two different integers $m$, $n$ strictly greater than $1$ with the property $x^m=x^n$) in terms of nilpotent elements which supplies recent results in this subject by Cui--Danchev published in (J. Algebra \& Appl., 2020) and by Abyzov--Tapkin published in (J. Algebra \& Appl., 2022). Concretely, we state and prove the slightly surprising fact that an

doi:10.46698/q0369-3594-2531-z
fatcat:wxsr2g5kpvgnphefqqrp4p4n4i