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Weak dimension

In abstract algebra, the weak dimension of a nonzero right module M over a ring R is the largest number n such that the Tor group Tor n R ⁡ ( M , N ) {\displaystyle \operatorname {Tor} _{n}^{R}(M,N)} is nonzero for some left R-module N (or infinity if no largest such n exists), and the weak dimension of a left R-module is defined similarly. The weak…

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Weak dimension

Nodes25
Edges24
Triples7
Avg. degree1.92
Density0.08
Components1

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Weak dimension

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related to Examples · 7
Weak dimension → If, In, It, Noetherian, Prüfer, The, Von Neumann

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dimension weak ring global right left module displaystyle largest number nonzero mathbb tor operatorname r-module defined equal noetherian 1956 algebra

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SubjectPredicateObjectConfidenceSrc
Weak dimensionrelated to ExamplesThe0.60section
Weak dimensionrelated to ExamplesPrüfer0.60section
Weak dimensionrelated to ExamplesVon Neumann0.60section
Weak dimensionrelated to ExamplesIf0.60section
Weak dimensionrelated to ExamplesNoetherian0.60section
Weak dimensionrelated to ExamplesIn0.60section
Weak dimensionrelated to ExamplesIt0.60section

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