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Cyclic module

In mathematics, more specifically in ring theory, a cyclic module or monogenous module is a module over a ring that is generated by one element. The concept is a generalization of the notion of a cyclic group, that is, an Abelian group (i.e. Z-module) that is generated by one element.

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Cyclic module

Nodes19
Edges18
Triples8
Avg. degree1.89
Density0.105263
Components1

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Cyclic module

Top relations

related to Examples · 8
Cyclic module → Every, If, In, Jordan, R-module, The, The Jordan, Z-module

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Important terminology

cyclic generated module r-module element ring z-module one isbn also mathematics submodules pp group see simple algebra left right every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cyclic modulerelated to ExamplesZ-module0.60section
Cyclic modulerelated to ExamplesIn0.60section
Cyclic modulerelated to ExamplesEvery0.60section
Cyclic modulerelated to ExamplesR-module0.60section
Cyclic modulerelated to ExamplesIf0.60section
Cyclic modulerelated to ExamplesThe0.60section
Cyclic modulerelated to ExamplesJordan0.60section
Cyclic modulerelated to ExamplesThe Jordan0.60section

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