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Journal ArticleDate
2003-01-01Author
Letzter, ESPermanent link to this record
http://hdl.handle.net/20.500.12613/6126
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10.1007/BF02807203Abstract
Let R be an associative ring with identity. We study an elementary generalization of the classical Zariski topology, applied to the set of isomorphism classes of simple left R-modules (or, more generally, simple objects in a complete abelian category). Under this topology the points are closed, and when R is left noetherian the corresponding topological space is noetherian. If R is commutative (or PI, or FBN) the corresponding topological space is naturally homeomorphic to the maximal spectrum, equipped with the Zariski topology. When R is the first Weyl algebra (in characteristic zero) we obtain a one-dimensional irreducible noetherian topological space. Comparisons with topologies induced from those on A. L. Rosenberg's spectra are briefly noted.Citation to related work
Springer Science and Business Media LLCHas part
Israel Journal of MathematicsADA compliance
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http://dx.doi.org/10.34944/dspace/6108