Finitely generated torsion-free module over a principal ideal domain

Every finitely generated torsion-free module over a principal ideal domain is free. In the structure theorem, torsion-freeness removes every cyclic torsion summand and leaves only the free summand.

Table of contents 85 1
- Classification of integral matrices satisfying the third cyclotomic polynomial Finitely generated torsion-free module over a principal ideal domain 57

 Ancestors (7)

Structure theorem for finitely generated modules over a principal ideal domain
Module theory
Commutative algebra
Algebra
Area of mathematics
Mathematics
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