Commutative reduced filial rings

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Andruszkiewicz, R.R., Sobolewska, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152361
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Commutative reduced filial rings / R.R. Andruszkiewicz, M. Sobolewska// Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 18–26. — Бібліогр.: 7 назв. — англ.

A ring R is filial when for every I, J, if I is an ideal of J and J is an ideal of R then I is an ideal of R. Several characterizations and results on structure of commutative reduced filial rings are obtained.