2-Simple ore domains of stable rank 1

  • O.V. Domsha Львів, нац. ун-т
  • B. V. Zabavskii


It is known that a simple Bézout domain is a domain of elementary divisors if and only if it is 2-simple. We prove that, over a 2-simple Ore domain of stable rank 1, an arbitrary matrix that is not a divisor of zero is equivalent to a canonical diagonal matrix.
How to Cite
Domsha, O., and B. V. Zabavskii. “2-Simple Ore Domains of Stable Rank 1”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 10, Oct. 2010, pp. 1436–1440, https://umj.imath.kiev.ua/index.php/umj/article/view/2968.
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