Abstract

It is shown that in a commutative elementary divisor domain which is not a ring of stable range 1 exist nonzero and nonunit elements with almost stable range 1. Cite as: A. M. Romaniv, B. M. Zabavsky, S. I. Bilavska, Adequate properties of the elements with almost stable range 1 of a commutative elementary divisor domain, Prykl. Probl. Mekh. Mat. , Issue 16, 33–35 (2018), https://doi.org/10.15407/apmm2018.16.33-35

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