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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.CO2025
Character theoretic techniques for nonabelian partial difference sets
Seth R. Nelson, Eric Swartz
A -partial difference set (PDS) is a subset of size of a group of order such that every nonidentity element of can be expressed in either or…