Bruce Olberding

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20122023

most citedA counterpart to Nagata idealization

1 citations · 1 across the 3 of their papers we have counts for

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math.AC2014

Affine schemes and topological closures in the Zariski-Riemann space of valuation rings

Bruce Olberding

Let $F$ be a field, let $D$ be a subring of $F$ , and let $X$ be the Zariski-Riemann space of valuation rings containing $D$ and having quotient field $F$ . We consider…

math.AC2012★ 1 cited

A counterpart to Nagata idealization

Bruce Olberding

Idealization of a module $K$ over a commutative ring $S$ produces a ring having $K$ as an ideal, all of whose elements are nilpotent. We develop a method that under suitable field-…