| 释义 |
free module A module with a basis. Unlike vector spaces, modules typically do not have bases. A free module over a ring R is isomorphic to Rn for some n, and all bases of Rn have n elements. Note ℤ2 is free as a ℤ2-module, as {1} is a basis, but not free as a ℤ-module, as 1 is a torsion element.
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