Modules over Principal Ideal Domains

Assem, I., & Coelho, F. U. (2024). Modules over Principal Ideal Domains. An Introduction to Module Theory.

Type

Book chapter

Intellectual base

Review or monograph

Year

2024

DOI

10.1093/9780198904939.003.0006

Link

https://doi.org/10.1093/9780198904939.003.0006

Cited by

1 citation across 1 artifact.

Domain-specific

• Structure Theorem for Finitely Generated Modules over a Principal Ideal Domain
  • Structure Theorem for Finitely Generated Modules over a Principal Ideal Domain is a classification theorem stating that every finitely generated module over a principal ideal domain decomposes into a finite free part and uniquely determined cyclic torsion factors, in invariant-factor or elementary-divisor form.

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