On prime unity regular rings of elementary divisors (in Ukrainian)

Author
B. Zabavskyui
Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290000, Ukraine
Abstract
Necessary and sufficient conditions are given for simple unity regular ring to be elementary divisor ring.
Keywords
simple unit-regular ring, elementary divisor ring, necessary and sufficient conditions
DOI
doi:10.30970/ms.2.1.21-22
Reference
1. Henriksen M. On a class of regular rings, that are elementary divisor rings // Arch. der Math. 1973. V.24. P.133–141.

2. Fuchs Z. On a substitution property for modules // Monatshefte für Math. 1971. V.75. P.198–204.

3. I.Kaplansky. Elementary divisor and modules.// Trans. Amer.Math. Soc. 1949. V.66. P.464-491. Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290000, Ukraine

Pages
21-22
Volume
2
Issue
1
Year
1993
Journal
Matematychni Studii
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