torsion module

torsion module

[′tȯr·shən ‚mä·jül]
(mathematics)
A module M over an entire principal ring R is said to be a torsion module if for any element x in M there exists an element a in R such that a ≠ 0 and ax = 0.
References in periodicals archive ?
N] to the cardinality of N for each torsion module N.
applies the Euler characteristic to map coloring, proves the spectral theorem for hermitian and normal linear transformations on a finite-dimensional Hilbert space, and develops the structure of a finitely generated torsion module.