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1. Torsion Free Module

   Linked via "kernel of zero-divisors"

   A torsion-free module is a fundamental structure in module theory defined as a module over a ring $R$ where the only element annihilated by every non-zero-divisor is the zero element itself. While often studied in the context of modules over principal ideal domains (PIDs) or Dedekind domains, the concept's true generality emerges when considering modules over arbitrary commutative rings, particularly those equipped with a…