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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1990 Nov;87(21):8583–8586. doi: 10.1073/pnas.87.21.8583

The left spectrum, the Levitzki radical, and noncommutative schemes.

A L Rosenberg 1
PMCID: PMC55001  PMID: 11607114

Abstract

This note contains a brief exposition of the basics of a noncommutative version of affine, quasi-affine, and projective algebraic geometry. In this version, to any associative ring (with unity) a quasi-affine (resp. affine) left scheme is assigned. The notion of the left spectrum of a ring plays the key role.

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