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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 7, Pages 69–74
(Mi fpm1366)
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Rings with the greatest common divisor
A. N. Koryukina, A. M. Sebeldinb, A. L. Syllac a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Nizhny Novgorod State Pedagogical University
c University of Conakry, Guinea
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.
Citation:
A. N. Koryukin, A. M. Sebeldin, A. L. Sylla, “Rings with the greatest common divisor”, Fundam. Prikl. Mat., 16:7 (2010), 69–74; J. Math. Sci., 183:3 (2012), 319–322
Linking options:
https://www.mathnet.ru/eng/fpm1366 https://www.mathnet.ru/eng/fpm/v16/i7/p69
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Statistics & downloads: |
Abstract page: | 297 | Full-text PDF : | 205 | References: | 51 | First page: | 2 |
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