Rings with the greatest common divisor |
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Authors: | A. N. Koryukin A. M. Sebeldin A. L. Sylla |
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Affiliation: | 1. Sobolev Institute of Mathematics, Novosibirsk, Russia 2. State Pedagogical University of Nizhny Novgorod, Nizhny Novgorod, Russia
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Abstract: | We have found some class between the class of associative commutative factorial rings and the class of domains of integrity. It is the class of GCD-rings or almost factorial rings, i.e., domains of integrity where any two elements have a greatest common divisor. |
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