A krull-like dimension for noncommutative rings

Jonathan S. Golan

doi:10.1007/BF02757493

A krull-like dimension for noncommutative rings

Jonathan S. Golan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let R be an associative ring. Using chains of prime torsion theories over the category of unitary left R-modules, a generalization of the Krull dimension for commutative rings is defined and its properties investigated.

Original language	English
Pages (from-to)	297-304
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/BF02757493
State	Published - Dec 1974

ASJC Scopus subject areas

General Mathematics

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title = "A krull-like dimension for noncommutative rings",

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AB - Let R be an associative ring. Using chains of prime torsion theories over the category of unitary left R-modules, a generalization of the Krull dimension for commutative rings is defined and its properties investigated.

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JO - Israel Journal of Mathematics

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A krull-like dimension for noncommutative rings

Abstract

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