Torsion-Free - Pure Mathematics - Algebra Dictionary Definition An algebraic object is torsion-free if its nonzero elements do not have finite order under the relevant operation; in module contexts over an integral domain, torsion-free means no nonzero element is annihilated by a nonzero scalar.
Torsion-Free - Pure Mathematics - Algebra Dictionary Definition An algebraic object is torsion-free if its nonzero elements do not have finite order under the relevant operation; in module contexts over an integral domain, torsion-free means no nonzero element is annihilated by a nonzero scalar.