Factorial analogue of distributive Bézout domains. (English. Ukrainian original) Zbl 1006.16036
Ukr. Math. J. 53, No. 11, 1906-1909 (2001); translation from Ukr. Mat. Zh. 53, No. 11, 1564-1567 (2001).
Summary: We investigate the Bézout domains in which an arbitrary maximal nonprincipal right ideal is two-sided. In the case of \(A_t(R)\) Bézout domains, we show that an arbitrary maximal nonprincipal right ideal which is two-sided is also a maximal nonprincipal left ideal.
