A Topology for the Set of Primitive Ideals in an Arbitrary Ring

DOI10.1073/pnas.31.10.333zbMath0060.07402OpenAlexW2007260507WikidataQ28305480 ScholiaQ28305480MaRDI QIDQ5834682

Nathan Jacobson

Publication date: 1945

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.31.10.333

zbMATH Keywords

rings, modules, fields

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Ideal Lattices and the Structure of Rings ⋮ Classics revisited: Éléments de géométrie algébrique ⋮ The spectrum of a localic semiring ⋮ Defining a mathematical research school: the case of algebra at the University of Chicago, 1892--1945 ⋮ Centering of an operator algebra ⋮ Rings and sheaves ⋮ Normal structure spaces of groups ⋮ Iséki spaces of semirings ⋮ Ideal spaces: An extension of structure spaces of rings ⋮ A general theory of structure spaces with applications to spaces of prime ideals ⋮ The Dual Spaces of Banach Algebras ⋮ Involutive triangular matrix algebras ⋮ Ein topologischer Beitrag zur Strukturtheorie nicht-assoziativer Ringe ⋮ Compactness of the Structure Space of a Ring ⋮ On the Ideal Structure of Certain Semirings and Compactification of Topological Spaces ⋮ On the Compactness of the Structure Space of a Ring ⋮ Ultrafilters and Compactification of Uniform Spaces ⋮ Topological Representation of Algebras ⋮ The hull-kernel topology on prime filters in residuated lattices ⋮ Rings of Real-Valued Continuous Functions. I ⋮ The Structure of Certain Operator Algebras

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