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# đź“™ Projective modules over polynomial rings and dynamical GrĂ¶bner bases by Ihsen Yengui â€” free epub

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- Series:
**Lectures on Constructive Algebra ICTP, Trieste, Italy, 11-24 August, 2008** - Author:
**Ihsen Yengui** - Year:
**2008** - Language:
**English** - ISBN:

- File size:
**1 109 129** - Format:
**pdf**

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The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem)...

This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, an...

From the reviews:â€śThe theory of modules over group rings RG for infinite groups G over arbitrary rings R is a very extensive and complex field of research with a great number of scattered results. â€¦ Since many of the results appear for the first time in a...

â€śSerreâ€™s Conjectureâ€ť, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x...

This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommu...

This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommu...

The main thrust of this book is easily described. It is to introduce the reader who already has some familiarity with the basic notions of sets, groups, rings, and vector spaces to the study of rings by means of their module theory. This program is car...

The main thrust of this book is easily described. It is to introduce the reader who already has some familiarity with the basic notions of sets, groups, rings, and vector spaces to the study of rings by means of their module theory. This program is car...

As the primary tool for doing explicit computations in polynomial rings in many variables, GrĂ¶bner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This ...