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Showing 2012 · math.ACShow all
3 papers · 2 filters
math.AC2012
One-dimensional bad Noetherian domains
Bruce Olberding
Local Noetherian domains arising as local rings of points of varieties or in the context of algebraic number theory are analytically unramified, meaning their completions have no n…
math.AC2012★ 2 cited
Rees algebras of square-free monomial ideals
Louiza Fouli, Kuei-Nuan Lin
We study the defining equations of the Rees algebra of square-free monomial ideals in a polynomial ring over a field. We determine that when an ideal is generated by square…
math.AC2012★ 1 cited
A counterpart to Nagata idealization
Bruce Olberding
Idealization of a module over a commutative ring produces a ring having as an ideal, all of whose elements are nilpotent. We develop a method that under suitable field-…