Download E-books Torsion-Free Modules (Chicago Lectures in Mathematics) by Eben Matlis (1973-01-01) PDF

By Eben Matlis

The topic of torsion-free modules over an arbitrary crucial area arises evidently as a generalization of torsion-free abelian teams. during this quantity, Eben Matlis brings jointly his examine on torsion-free modules that has seemed in a couple of mathematical journals. Professor Matlis has transformed a few of the proofs in order that basically an user-friendly wisdom of homological algebra and commutative ring concept is important for an realizing of the theory.

The first 8 chapters of the publication are a basic creation to the idea of torsion-free modules. This a part of the ebook is acceptable for a self-contained easy path at the topic. extra really good difficulties of discovering all integrally closed D-rings are tested within the final seven chapters, the place fabric lined within the first 8 chapters is applied.

An vital area is expounded to be a D-ring if each torsion-free module of finite rank decomposes right into a direct sum of modules of rank 1. After a lot research, Professor Matlis chanced on that an integrally closed area is a D-ring if, and provided that, it's the intersection of at such a lot maximal valuation rings.

Show description

Read or Download Torsion-Free Modules (Chicago Lectures in Mathematics) by Eben Matlis (1973-01-01) PDF

Similar Algebra books

Algebra: Volume I

This gorgeous and eloquent textual content remodeled the graduate instructing of algebra in Europe and the us. It in actual fact and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and mixed it with the beauty and realizing with which Artin had lectured.

An Introduction to Algebraic Structures (Dover Books on Mathematics)

Because the writer notes within the preface, "The objective of this booklet is to acquaint a large spectrum of scholars with what's this present day often called 'abstract algebra. '" Written for a one-semester path, this self-contained textual content comprises various examples designed to base the definitions and theorems on adventure, to demonstrate the idea with concrete examples in frequent contexts, and to provide the coed broad computational perform.

Kazhdan's Property (T) (New Mathematical Monographs)

Estate (T) is a tension estate for topological teams, first formulated by means of D. Kazhdan within the mid 1960's with the purpose of demonstrating that a huge category of lattices are finitely generated. Later advancements have proven that estate (T) performs an enormous position in an amazingly huge number of matters, together with discrete subgroups of Lie teams, ergodic thought, random walks, operator algebras, combinatorics, and theoretical laptop technological know-how.

Extra resources for Torsion-Free Modules (Chicago Lectures in Mathematics) by Eben Matlis (1973-01-01)

Show sample text content

Rated 4.64 of 5 – based on 26 votes