2 citations · 4 across the 12 of their papers we have counts for
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A generalization of Gelfand-Naimark-Stone duality to completely regular spaces
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
Gelfand-Naimark-Stone duality establishes a dual equivalence between the category of compact Hausdorff spaces and the category of un…
Radical factorization in commutative rings, monoids and multiplicative lattices
Bruce Olberding, Andreas Reinhart
In this paper we study the concept of radical factorization in the context of abstract ideal theory in order to obtain a unified approach to the theory of factorization into radica…
Krull's Principal Ideal Theorem in non-Noetherian settings
Bruce Olberding
Let be a finitely generated ideal of a commutative ring . Krull's Principal Ideal Theorem states that if is Noetherian and is minimal over a principal ideal of ,…
The tree of quadratic transforms of a regular local ring of dimension two
William Heinzer, K. Alan Loper, Bruce Olberding
Let be a 2-dimensional regular local ring and let denote the quadratic tree of 2-dimensional regular local overrings of . We explore the topology of the tree a…
De Vries duality for normal spaces and locally compact Hausdorff spaces
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
By de Vries duality, the category of compact Hausdorff spaces is dually equivalent to the category of de Vries algebras. In our recent article, we have extended de Vries duality to…
De Vries duality for compactifications and completely regular spaces
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
De Vries duality yields a dual equivalence between the category of compact Hausdorff spaces and a category of complete Boolean algebras with a proximity relation on them, known as…