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Generalized adequate rings

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Abstract

We introduce a new class of rings of elementary divisors which generalize adequate rings. We show that the problem of whether every commutative Bezout domain is a domain of elementary divisors reduces to the case where the domain contains only trivial adequate elements (namely, the identities of the domain).

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Zabavskii, B.V. Generalized adequate rings. Ukr Math J 48, 614–617 (1996). https://doi.org/10.1007/BF02390621

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  • DOI: https://doi.org/10.1007/BF02390621

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