Hereditary Properties between a Ring and its Maximal Subrings

• Date: 2013
• Main Authors: Azarang, A., Karamzadeh, O. A. S., Namazi, A., Азаранг, А., Карамзадех, О. А. С., Намазі, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2475
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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) = ...