Abstract
We study rings R in which the set of regular elements is finite and non-empty. We give several sufficient conditions for such rings to be finite, we give some information about infinite examples, and we characterize finite rings in which the number of regular elements is prime.
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Bell, H.E. On rings with finitely many regular elements. Beitr Algebra Geom 58, 787–794 (2017). https://doi.org/10.1007/s13366-017-0335-9
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DOI: https://doi.org/10.1007/s13366-017-0335-9