Abstract
We investigate Bezout domains in which an arbitrary maximally-nonprincipal right ideal is two-sided. In the case of At(R) Bezout domains, we show that an arbitrary maximally-nonprincipal two-sided right ideal is also a maximally-nonprincipal left ideal.
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Zabavs'kyi, B.V. Factorial Analog of Distributive Bezout Domains. Ukrainian Mathematical Journal 53, 1906–1909 (2001). https://doi.org/10.1023/A:1015263132216
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DOI: https://doi.org/10.1023/A:1015263132216