English

Modules with RD-composition series over a commutative ring

Rings and Algebras 2007-05-23 v1

Abstract

If R is a commutative ring, we prove that every finitely generated module has a pure-composition series with indecomposable factors and any two such series are isomorphic if and only if R is a Bezout ring and a CF-ring.

Keywords

Cite

@article{arxiv.math/0409518,
  title  = {Modules with RD-composition series over a commutative ring},
  author = {Francois Couchot},
  journal= {arXiv preprint arXiv:math/0409518},
  year   = {2007}
}