Conditions for stable range of an elementary divisor rings |
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| Authors: | Zabavsky Bohdan |
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| Affiliation: | 1. Department of Algebra and Logic, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Lviv, Ukrainezabavskii@gmail.com |
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| Abstract: | ![]()
Using the concept of ring of Gelfand range 1 we proved that a commutative Bezout domain is an elementary divisor ring iff it is a ring of Gelfand range 1. Obtained results give a solution of problem of elementary divisor rings for different classes of commutative Bezout domains, in particular, PM*, local Gelfand domains and so on. |
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| Keywords: | Almost stable range Bezout ring elementary divisor ring Gelfand range stable range |
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