torsion element

torsion element

[′tȯr·shən ‚el·ə·mənt]
(mathematics)
A torsion element of an Abelian group G is an element of G with finite period.
A torsion element of a module M over an entire, principal ring R is an element x in M for which there exists an element a in R such that a ≠ 0 and ax = 0.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
We shall say that a sheaf is torsion-free if every torsion element vanishes identically on some component.
Ravenel studied complex oriented cohomology theories for the classifying space BG and succeeded, as a generalisation of Atiyah's theorem cited above, in constructing generalized group characters which describe certain periodic cohomologies of BG (modulo torsion elements which conjecturally do not exist) [12] (see also [13, 11, 16]).