Generalized adequate rings
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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).
KeywordsCommutative Ring Elementary Divisor Invertible Matrice Bezout Ring Zorn Lemma
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