Hereditary Properties between a Ring and its Maximal Subrings

We study the existence of maximal subrings and hereditary properties between a ring and its maximal subrings. Some new techniques for establishing the existence of maximal subrings are presented. It is shown that if R is an integral domain and S is a maximal subring of R, then the relation dim(R) = ...

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Bibliographic Details
Date:2013
Main Authors: Azarang, A., Karamzadeh, O.A.S., Namazi, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165581
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hereditary Properties between a Ring and its Maximal Subrings / A. Azarang, O.A.S. Karamzadeh, A. Namazi // Український математичний журнал. — 2013. — Т. 65, № 7. — С. 883–893. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine