Maximally non-Gelfand Bezout duo-domains (in Ukrainian) |
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| Author |
pihuraoksana@mail.ru, linabokhonko@gmail.com
Ivan Franko National University of Lviv
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| Abstract |
In the paper we consider the maximal non-Gelfand ideals and establish their properties.
We study also the locally non-Gelfand Bezout duo-domains and establish their connection with
elementary divisors of the rings.
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| Keywords |
non-Gelfand ideal; divisor; ring; Bezout duo-domain
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| DOI |
doi:10.15330/ms.46.1.13-19
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| Reference |
1. Zabavsky B.V., Diagonal reduction of matrices over rings// Math. Studies, Monograph Series, V.16. –
Lviv: VNTL Publishers, 2012, 251 p.
2. Pihura O.V. The maximal non-Gelfand ideals of commutative Bezout domains// Applied Problems of Mechanics and Mathematics. – 2015. – V.13. –P. 47–52. 3. Sun S.H. Noncommutative rings in which every prime ideals are conteined in a unique maximal ideal// Pure Appl. Algebra. – 1991. – V.76. – P. 179–192. |
| Pages |
13-19
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| Volume |
46
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| Issue |
1
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| Year |
2016
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |