Czechoslovak Mathematical Journal, first online, pp. 1-6
Avoidance principle and intersection property for a class of rings
Rahul Kumar, Atul Gaur
Received August 8, 2019. Published online April 16, 2020.
Abstract: Let $R$ be a commutative ring with identity. If a ring $R$ is contained in an arbitrary union of rings, then $R$ is contained in one of them under various conditions. Similarly, if an arbitrary intersection of rings is contained in $R$, then $R$ contains one of them under various conditions.
Affiliations: Rahul Kumar, Atul Gaur (corresponding author), Department of Mathematics, University of Delhi, New Academic Block, University Enclave, Delhi, 110007, India, e-mail: email@example.com, firstname.lastname@example.org