18 citations · 105 across the 29 of their papers we have counts for
4 papers · 2 filters
The McCoy property in Ohm-Rush algebras
Neil Epstein
An Ohm-Rush algebra is called *McCoy* if for any zero-divisor in , its content has nonzero annihilator in , because McCoy proved this when $S=R[x…
Nakayama closures, interior operations, and core-hull duality
Neil Epstein, Rebecca R. G., Janet Vassilev
Exploiting the interior-closure duality developed by Epstein and R.G., we show that for the class of Matlis dualizable modules over a Noetherian local ring, when cl i…
The Ohm-Rush content function III: Completion, globalization, and power-content algebras
Neil Epstein, Jay Shapiro
One says that a ring homomorphism is Ohm-Rush if extension commutes with arbitrary intersection of ideals, or equivalently if for any element , there is a…
Regularity and intersections of bracket powers
Neil Epstein
Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely one where finite intersection of ideals commutes with taking bracket powe…