2 papers
math.AC2025
Rings where a non-nilpotent sum of units is a unit
Neil Epstein, Jay Shapiro
A ring is *unit-additive* if a sum of units is always either a unit or nilpotent. For example, and are unit-additive, but is not. We prove a wide-ra…
math.AC2025
Mittag-Leffler modules and variants on intersection flatness
Rankeya Datta, Neil Epstein, Kevin Tucker
We systematically study the intersection flatness and Ohm-Rush properties for modules over a commutative ring, drawing inspiration from the work of Ohm and Rush and of Hochster and…