1 edition of **Torsion-free modules** found in the catalog.

Torsion-free modules

Eben Matlis

- 305 Want to read
- 6 Currently reading

Published
**1972**
by University of Chicago Press in Chicago
.

Written in English

- Modules (Algebra),
- Rings (Algebra)

**Edition Notes**

Bibliography: p. 164-167

Series | Chicago lectures in mathematics, Chicago lectures in mathematics |

The Physical Object | |
---|---|

Pagination | vii, 168 p. |

Number of Pages | 168 |

ID Numbers | |

Open Library | OL14629870M |

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The first eight chapters of the book are a general introduction to the theory of torsion-free modules. This part of the book is suitable for a self-contained basic course on the subject. More. Torsion free modules In this section we discuss torsion free modules and the relationship with flatness (especially over dimension 1 rings).

Definition Is $\mathbb{Q}$ a torsion-free $\mathbb{Z}$-module which is not free. This is an exercise (page 94) in the book by Hartley and Hawkes. It is apparent that it is torsion-free. But how to prove tha. PDF | In this article, we formalize a torsion Z-module and a torsionfree Z-module.

Especially, we prove formally that finitely generated torsion-free | Find, read and cite all the research you. The book Torsion-Free Modules, Eben Matlis is published by University of Chicago Press.

Torsion-Free Modules, Matlis All Chicago e-books are on sale at 30% off with the code EBOOK This article was adapted from an original article by L.V. Kuz'min (originator), which appeared in Encyclopedia of Mathematics - ISBN In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial modules.

Finally, we illustrate the constructions in an example. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share. We prove a result connecting the torsion-freeness of the symmetric powers and the flatness of an algebra over a noetherian ring containing ℚ.

Key words Torsion-free modules flat modulesAuthor: Cristodor Ionescu.