Hereditary Properties between a Ring and its Maximal Subrings

• Published in: Український математичний журнал
• Date: 2013
• Main Authors: Azarang, A., Karamzadeh, O.A.S., Namazi, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165581
• 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.

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) = ...