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 obviously as a generalization of torsion-free abelian teams. during this quantity, Eben Matlis brings jointly his study on torsion-free modules that has seemed in a couple of mathematical journals. Professor Matlis has transformed the various proofs in order that in basic terms an undemanding wisdom of homological algebra and commutative ring thought is important for an figuring out of the theory.

The first 8 chapters of the publication are a normal advent to the speculation of torsion-free modules. This a part of the publication is appropriate 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 imperative area is related 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 came across 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 Online or Download Torsion-Free Modules (Chicago Lectures in Mathematics) by Eben Matlis (1973-01-01) PDF

Similar Algebra books

The Theory of Determinants in the Historical Order of Development

This can be a pre-1923 ancient copy that used to be curated for caliber. caliber insurance was once carried out on each one of those books in an try to get rid of books with imperfections brought by way of the digitization method. although now we have made top efforts - the books could have occasional mistakes that don't abate the interpreting adventure.

Galois Theory, U Glasgow course

Thought of a vintage by way of many, a primary path in summary Algebra is an in-depth, advent to summary algebra. excited about teams, jewelry and fields, this article supplies scholars a company starting place for extra really good paintings by means of emphasizing an knowing of the character of algebraic buildings. The 6th version of this article maintains the culture of educating in a classical demeanour whereas integrating box concept and a revised bankruptcy 0.

Abstract regular polytopes

Summary usual polytopes stand on the finish of greater than millennia of geometrical examine, which begun with ordinary polygons and polyhedra. The swift improvement of the topic some time past 20 years has led to a wealthy new conception that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, team thought and topology.

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

Show sample text content

Rated 4.47 of 5 – based on 5 votes