1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AC2017★ 1 cited
De-noetherizing Cohen-Macaulay rings
Laszlo Fuchs, Bruce Olberding
We introduce a new class of commutative {non-noetherian} rings, called -subperfect rings, generalizing the almost perfect rings that have been studied recently by Fuchs-Salce. F…
math.AC2014
Affine schemes and topological closures in the Zariski-Riemann space of valuation rings
Bruce Olberding
Let be a field, let be a subring of , and let be the Zariski-Riemann space of valuation rings containing and having quotient field . We consider…
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-…