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Torsion (algebra)

In mathematics, specifically in ring theory, a torsion element is an element of a module that yields zero when multiplied by some non-zero-divisor of the ring. The torsion submodule of a module is the submodule formed by the torsion elements (in cases when this is indeed a submodule, such as when the ring is an integral domain). A torsion module is a…

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Case of a principal ideal domain

Torsion and localization

Torsion in homological algebra

Abelian varieties

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Torsion (algebra)

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torsion ring module group abelian domain elements element torsion-free submodule commutative groups case modules subgroup field r-module finite zero general

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