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math.RA2025
Covering rings by proper ideals
Malcolm Hoong Wai Chen, Eric Swartz, Nicholas J. Werner
A cover by left ideals of an associative (not necessarily commutative or unital) ring is a collection of proper left ideals whose set-theoretic union equals . If such a cove…
math.RA2025
Rings as unions of proper ideals
Malcolm Hoong Wai Chen
In this note, we define and investigate ideal covering numbers of associative rings (not assumed to be commutative or unital): three invariants defined as the minimal number of pro…