18 citations · 105 across the 29 of their papers we have counts for
4 papers · 2 filters
Liftable integral closure
Neil Epstein, Bernd Ulrich
We develop the basic properties of an essentially new closure operation on submodules, the \emph{liftable integral closure} of a submodule, including its relationships with the two…
Semistar operations and standard closure operations
Neil Epstein
Let be a commutative ring. It is shown that there is an order isomorphism between a popular class of finite type closure operations on the ideals of and the poset of semist…
Strong Krull primes and flat modules
Neil Epstein, Jay Shapiro
There are several theorems describing the intricate relationship between flatness and associated primes over commutative Noetherian rings. However, associated primes are known to a…
Algebra retracts and Stanley-Reisner rings
Neil Epstein, Hop D. Nguyen
In a paper from 2002, Bruns and Gubeladze conjectured that graded algebra retracts of polytopal algebras over a field are again polytopal algebras. Motivated by this conjecture…